Yep, have been on constant "pager duty" for 2+ years, although I have more help now and I get paged 1-3 times a week instead of per night. Still, carry my lappy everywhere I go. Bought an ARM Windows laptop to get that 20hr battery life so I could worry less during my travels. You know, fancy things like going get food or going grocery shopping.
Rough shift, my worst was every other week and my boss prior to hiring me was 24/7 just like you. I just carry a backpack with a few batteries + my work laptop, fortunately only a few really bad stories but hooooo boy me and that backpack have seen some fun times.