13972631904 has 288 divisors, whose sum is σ = 50694868224. Its totient is φ = 3544611840.

The previous prime is 13972631887. The next prime is 13972631917. The reversal of 13972631904 is 40913627931.

13972631904 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 2 + 631 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 13972631904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 946242 + ... + 960894.

It is an arithmetic number, because the mean of its divisors is an integer number (176023848).

Almost surely, 2^13972631904 is an apocalyptic number.

13972631904 is a gapful number since it is divisible by the number (14) 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 13972631904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347434112).

13972631904 is an abundant number, since it is smaller than the sum of its proper divisors (36722236320).

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

13972631904 is a wasteful number, since it uses less digits than its factorization.

13972631904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14730 (or 14719 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13972631904 in words is "thirteen billion, nine hundred seventy-two million, six hundred thirty-one thousand, nine hundred four".