15966145216 has 112 divisors (see below), whose sum is σ = 37565015040. Its totient is φ = 6590638080.

The previous prime is 15966145157. The next prime is 15966145231. The reversal of 15966145216 is 61254166951.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1445571 + ... + 1456573.

It is an arithmetic number, because the mean of its divisors is an integer number (335401920).

Almost surely, 2^15966145216 is an apocalyptic number.

15966145216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15966145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18782507520).

15966145216 is an abundant number, since it is smaller than the sum of its proper divisors (21598869824).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

15966145216 is a wasteful number, since it uses less digits than its factorization.

15966145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11132 counting only the distinct ones).

The product of its digits is 388800, while the sum is 46.

The spelling of 15966145216 in words is "fifteen billion, nine hundred sixty-six million, one hundred forty-five thousand, two hundred sixteen".