Is it a cali king snake?
With it being over 5 feet, it's most likely 3+ years old. Some colubrids will stop eating to hibernate or brumate for the winter. My cali king, albino black rat snake, and one BP all stop eating around early/mid October and do not start eating again until Feb/Mar. I shut the lights/heat off for the king and rat snakes to help them with their cycle. I'll offer food to my rat snake in mid January cause he likes a mid season snack.
Track his weight, if he doesn't lose weight drastically you should be in good shape.