I... don't have much to say about this road. It's an inland connection from Montville to Bozrah; it skirts a few lakes; and... ¯\_(ツ)_/¯
Mathematicians think the number itself is pretty cool, perhaps even the coolest of all.
To the rescue comes Johnna Kaplan, author of the The Size of Connecticut blog:
Is Route 163 barns and countryside, tractor-crossing signs, and mist rising over tall grass?
Is it rust and neon signs and broken windows and peeling paint?
Is it a reminder of those who traveled this way hundreds of years past?
Is it little Post Offices, general stores, the sun peeking from behind the clouds, and wreaths on church doors?
Is it narrow rivers, highway overpasses, truck parts and pizza and the remains of what's been torn apart?
Yes.
That page is no longer up, but her Flickr site has some Route 163 scenery.