15338405664 has 72 divisors (see below), whose sum is σ = 43647212700. Its totient is φ = 5109447168.

The previous prime is 15338405651. The next prime is 15338405741. The reversal of 15338405664 is 46650483351.

15338405664 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 84 + 0 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14996451600 + 341954064 = 122460^2 + 18492^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 443262 + ... + 476610.

Almost surely, 2^15338405664 is an apocalyptic number.

It is an amenable number.

15338405664 is an abundant number, since it is smaller than the sum of its proper divisors (28308807036).

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

15338405664 is a wasteful number, since it uses less digits than its factorization.

15338405664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34962 (or 34951 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 15338405664 in words is "fifteen billion, three hundred thirty-eight million, four hundred five thousand, six hundred sixty-four".