13115988864 has 384 divisors, whose sum is σ = 42790550400. Its totient is φ = 3821875200.

The previous prime is 13115988841. The next prime is 13115988889. The reversal of 13115988864 is 46888951131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 13115988864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39625179 + ... + 39625509.

It is an arithmetic number, because the mean of its divisors is an integer number (111433725).

Almost surely, 2^13115988864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13115988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21395275200).

13115988864 is an abundant number, since it is smaller than the sum of its proper divisors (29674561536).

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

13115988864 is a wasteful number, since it uses less digits than its factorization.

13115988864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 459 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 13115988864 in words is "thirteen billion, one hundred fifteen million, nine hundred eighty-eight thousand, eight hundred sixty-four".