Oh wow. Babies sleep a lot.
one of my four children slept 18 hours per day, in three 6-hour sessions, for many months.
16 hours of sleep also falls within normal for a 15 week old baby for most sources I've seen, so I'm not sure why you'd be worried? I had a look, and my daughter was around 15-16 hours. No big naps during the day, but she slept 7pm-6am maybe waking twice for feeding.