15081804864 has 567 divisors, whose sum is σ = 54690377157. Its totient is φ = 3961294848.

The previous prime is 15081804833. The next prime is 15081804889. The reversal of 15081804864 is 46840818051.

The square root of 15081804864 is 122808.

It is a perfect power (a square), and thus also a powerful number.

15081804864 is a `hidden beast` number, since 1 + 508 + 1 + 80 + 4 + 8 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11741889600 + 3339915264 = 108360^2 + 57792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 350739627 + ... + 350739669.

Almost surely, 2^15081804864 is an apocalyptic number.

15081804864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15081804864 is the 122808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15081804864

15081804864 is an abundant number, since it is smaller than the sum of its proper divisors (39608572293).

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

15081804864 is a wasteful number, since it uses less digits than its factorization.

15081804864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 15081804864 in words is "fifteen billion, eighty-one million, eight hundred four thousand, eight hundred sixty-four".