13829656464 has 120 divisors (see below), whose sum is σ = 43874900160. Its totient is φ = 4031306496.

The previous prime is 13829656447. The next prime is 13829656513. The reversal of 13829656464 is 46465692831.

13829656464 is a `hidden beast` number, since 13 + 8 + 2 + 9 + 6 + 564 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13829656464.

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, 158844 + ... + 229979.

It is an arithmetic number, because the mean of its divisors is an integer number (365624168).

Almost surely, 2^13829656464 is an apocalyptic number.

It is an amenable number.

13829656464 is an abundant number, since it is smaller than the sum of its proper divisors (30045243696).

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

13829656464 is a wasteful number, since it uses less digits than its factorization.

13829656464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388869 (or 388860 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 13829656464 in words is "thirteen billion, eight hundred twenty-nine million, six hundred fifty-six thousand, four hundred sixty-four".