How do you deal with loneliness when visiting people isn't an option?

It sucks being effectively nocturnal, as well as someone who thrives on the company of others. I usually stay up until about 6 am and it gets extremely lonely at those hours. Everyone’s asleep, nobody is on facebook, sleep isn’t an option, and playing Super Mario isn’t filling the void anymore. I thrive on the company and conversation of others, whether real or virtual, and this is getting old, so I have to ask my fellow social butterfly insomniac Flutherites: How do you do it? How do you alleviate your loneliness? Keep in mind that this isn’t a “you should drink warm milk and just try to sleep” discussion. Sleep isn’t happening. My circadian rhythm just doesn’t work that way.

So… how do I fix this? How do you fix it?