13668660864 has 96 divisors (see below), whose sum is σ = 40601907840. Its totient is φ = 4409233920.

The previous prime is 13668660791. The next prime is 13668660917. The reversal of 13668660864 is 46806686631.

13668660864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 13668660864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155662 + ... + 227085.

It is an arithmetic number, because the mean of its divisors is an integer number (422936540).

Almost surely, 2^13668660864 is an apocalyptic number.

It is an amenable number.

13668660864 is an abundant number, since it is smaller than the sum of its proper divisors (26933246976).

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

13668660864 is a wasteful number, since it uses less digits than its factorization.

13668660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382798 (or 382783 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13668660864 in words is "thirteen billion, six hundred sixty-eight million, six hundred sixty thousand, eight hundred sixty-four".