13314502656 has 728 divisors, whose sum is σ = 50135472800. Its totient is φ = 3511517184.

The previous prime is 13314502613. The next prime is 13314502661. The reversal of 13314502656 is 65620541331.

13314502656 is a `hidden beast` number, since 133 + 1 + 450 + 26 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13314502656.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1024192506 + ... + 1024192518.

Almost surely, 2^13314502656 is an apocalyptic number.

13314502656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13314502656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067736400).

13314502656 is an abundant number, since it is smaller than the sum of its proper divisors (36820970144).

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

13314502656 is an frugal number, since it uses more digits than its factorization.

13314502656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 13314502656 in words is "thirteen billion, three hundred fourteen million, five hundred two thousand, six hundred fifty-six".