13974972864 has 112 divisors (see below), whose sum is σ = 38300253600. Its totient is φ = 4491841536.

The previous prime is 13974972841. The next prime is 13974972883. The reversal of 13974972864 is 46827947931.

It is a junction number, because it is equal to n+sod(n) for n = 13974972798 and 13974972807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6886602 + ... + 6888630.

It is an arithmetic number, because the mean of its divisors is an integer number (341966550).

Almost surely, 2^13974972864 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 13974972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150126800).

13974972864 is an abundant number, since it is smaller than the sum of its proper divisors (24325280736).

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

13974972864 is a wasteful number, since it uses less digits than its factorization.

13974972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3300 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 60.

The spelling of 13974972864 in words is "thirteen billion, nine hundred seventy-four million, nine hundred seventy-two thousand, eight hundred sixty-four".