13931553024 has 81 divisors (see below), whose sum is σ = 40184443663. Its totient is φ = 4641962496.

The previous prime is 13931553019. The next prime is 13931553037. The reversal of 13931553024 is 42035513931.

The square root of 13931553024 is 118032.

It is a perfect power (a square), and thus also a powerful number.

13931553024 is a `hidden beast` number, since 1 + 3 + 93 + 15 + 530 + 24 = 666.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13931553024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5664307 + ... + 5666765.

Almost surely, 2^13931553024 is an apocalyptic number.

13931553024 is the 118032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13931553024

13931553024 is an abundant number, since it is smaller than the sum of its proper divisors (26252890639).

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

13931553024 is an frugal number, since it uses more digits than its factorization.

13931553024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Multiplying 13931553024 by its sum of digits (36), we get a square (501535908864 = 708192²).

13931553024 divided by its sum of digits (36) gives a square (386987584 = 19672²).

The spelling of 13931553024 in words is "thirteen billion, nine hundred thirty-one million, five hundred fifty-three thousand, twenty-four".