Have you ever tried to photograph the moon? Was the result a “white hot dog”?
Most people shoot at ISO 1600 for 10 seconds or longer because it is dark outside. Remember when you are photographing the moon, you are photographing reflected sunlight. Compared to the black vacuum of space, the moonlight is extremely bright.
My advice is to treat the full moon like you were photographing on a foggy day on the northern California coast. Of course, you’ll be using a tripod too. My exposure for the example shown below is:
400 ISO, 1/125 @ f/4.