13123764424032 has 96 divisors (see below), whose sum is σ = 34476507394560. Its totient is φ = 4371208558080.

The previous prime is 13123764423989. The next prime is 13123764424033. The reversal of 13123764424032 is 23042446732131.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123764424033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758985307 + ... + 759002597.

It is an arithmetic number, because the mean of its divisors is an integer number (359130285360).

Almost surely, 2^{13123764424032} is an apocalyptic number.

13123764424032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13123764424032 is an abundant number, since it is smaller than the sum of its proper divisors (21352742970528).

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

13123764424032 is a wasteful number, since it uses less digits than its factorization.

13123764424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22956 (or 22948 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 13123764424032 in words is "thirteen trillion, one hundred twenty-three billion, seven hundred sixty-four million, four hundred twenty-four thousand, thirty-two".