If you are exercising outside make sure to bring a flash light and other saftey precautions. From what I have read there are many benefits to exercing at night. Here is an article from the Washington Post. And then here is another one which talks about research on this very subject (Chtourou & Souissi, 2012). Other research in the article includes Schoenfeld, et al. (2014) and Gillen, et al. (2013).
(I find it ironic that they said "What is the best time of day to exercise? It’s not when you think." since it is exactly what I thought.)
Chtourou, H., & Souissi, N. (2012). The effect of training at a specific time of day: a review. The Journal of Strength & Conditioning Research, 26(7), 1984-2005.
Gillen, J. B., Percival, M. E., Ludzki, A., Tarnopolsky, M. A., & Gibala, M. (2013). Interval training in the fed or fasted state improves body composition and muscle oxidative capacity in overweight women. Obesity, 21(11), 2249-2255.
Schoenfeld, B. J., Aragon, A. A., Wilborn, C. D., Krieger, J. W., & Sonmez, G. T. (2014). Body composition changes associated with fasted versus non-fasted aerobic exercise. Journal of the International Society of Sports Nutrition, 11(1), 54.