13936914864 has 160 divisors (see below), whose sum is σ = 40804531200. Its totient is φ = 4553176320.

The previous prime is 13936914851. The next prime is 13936914899. The reversal of 13936914864 is 46841963931.

13936914864 is a `hidden beast` number, since 13 + 93 + 69 + 1 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13936914864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11800354 + ... + 11801534.

It is an arithmetic number, because the mean of its divisors is an integer number (255028320).

Almost surely, 2^13936914864 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 13936914864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20402265600).

13936914864 is an abundant number, since it is smaller than the sum of its proper divisors (26867616336).

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

13936914864 is a wasteful number, since it uses less digits than its factorization.

13936914864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1708 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The spelling of 13936914864 in words is "thirteen billion, nine hundred thirty-six million, nine hundred fourteen thousand, eight hundred sixty-four".