Besides being a big fire hazzard, you can't really depend on electric heat tapes to continue to keep working and eventually they will burn out or loose power and will no longer be protecting the pipes from freezing but you won't know it until it's too late.
A lot of people think water pipes should be wrapped to prevent freezing but the best way is to leave pipes uninsulated in an area where they can get any warmth at all even though the area may not seem to be very warm.
In other words only insulate between the cold area and the pipes but not between the warmer area and the pipes.
Probably one of the most important things to do though is to keep any draft off the pipes which usually can be done by stuffing insulation or rags into any cracks that wind can blow through.
I tried to draw a rough sketch to demonstrate.
