13972312320 has 144 divisors (see below), whose sum is σ = 46564543872. Its totient is φ = 3563929600.

The previous prime is 13972312313. The next prime is 13972312339. The reversal of 13972312320 is 2321327931.

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, 9220 + ... + 167420.

It is an arithmetic number, because the mean of its divisors is an integer number (323364888).

Almost surely, 2^13972312320 is an apocalyptic number.

13972312320 is a gapful number since it is divisible by the number (10) 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 13972312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23282271936).

13972312320 is an abundant number, since it is smaller than the sum of its proper divisors (32592231552).

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

13972312320 is a wasteful number, since it uses less digits than its factorization.

13972312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158248 (or 158234 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The spelling of 13972312320 in words is "thirteen billion, nine hundred seventy-two million, three hundred twelve thousand, three hundred twenty".