Batherson scored for the sixth straight game as he tied the team's all-time record for goals in consecutive games.
"Everything I'm shooting is going in," Batherson said. "The boys are making some great plays for me. I've got to thank my teammates."
In the process, he also became the new record holder of the most goals scored in consecutive games for a Senator aged 22 or younger, breaking Jason Spezza's previous record of five.
Batherson scored twice on the night while Artem Anisimov, Colin White and Evgenii Dadonov also scored as Matt Murray made 27 saves. Calgary's Milan Lucic scored as David Rittich turned away 31 shots.
"I was happy to get it tonight," Batherson said of tying the record. "I was thinking about it in the back of my head but it wasn't bothering me too much.
"It's nice to get it."
A scoreless first was followed by Anisimov getting his first of the year as after Tim Stützle had caused a centre ice turnover he left a drop pass for the Russian in the slot and he made no mistake at 6:22.
Batherson grabbed his first of the night 2:02 later to double the Sens lead as he used a Calgary player as a screen to beat Rittich with a wrister from the right faceoff circle.
Lucic got the Flames on the board with a power play marker at 10:20 but the Senators restored its two-goal lead as Batherson intercepted a Rittich pass and immediately fired low to beat the Flames goaltender at 11:44.
The Senators completed the victory with an empty-net goal from White at 16:19 before Dadonov buried his seventh 1:28 later to make it 5-1.
"Certainly, they had a push [in the third] but I think we did a good job as a whole," head coach D.J. Smith said.
Batherson tied Spezza, Dany Heatley, Daniel Alfredsson and Bob Kudelski by scoring in his sixth straight game. He'll have the opportunity to make it seven straight Tuesday night when the Sens visit Montreal.
Tonight was also the first multi-goal game of his NHL career.
