15624945216 has 168 divisors, whose sum is σ = 45512760384. Its totient is φ = 5124357120.

The previous prime is 15624945187. The next prime is 15624945227. The reversal of 15624945216 is 61254942651.

15624945216 is a `hidden beast` number, since 1 + 5 + 624 + 9 + 4 + 5 + 2 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15154621 + ... + 15155651.

It is an arithmetic number, because the mean of its divisors is an integer number (270909288).

Almost surely, 2^15624945216 is an apocalyptic number.

15624945216 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 15624945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22756380192).

15624945216 is an abundant number, since it is smaller than the sum of its proper divisors (29887815168).

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

15624945216 is a wasteful number, since it uses less digits than its factorization.

15624945216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1436 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 15624945216 in words is "fifteen billion, six hundred twenty-four million, nine hundred forty-five thousand, two hundred sixteen".