13931129564352 has 1344 divisors, whose sum is σ = 54458069213184. Its totient is φ = 3287926702080.

The previous prime is 13931129564323. The next prime is 13931129564371. The reversal of 13931129564352 is 25346592113931.

It is a happy number.

13931129564352 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 1 + 1 + 29 + 564 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12471914898 + ... + 12471916014.

It is an arithmetic number, because the mean of its divisors is an integer number (40519396736).

Almost surely, 2^{13931129564352} is an apocalyptic number.

13931129564352 is a gapful number since it is divisible by the number (12) 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 13931129564352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27229034606592).

13931129564352 is an abundant number, since it is smaller than the sum of its proper divisors (40526939648832).

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

13931129564352 is a wasteful number, since it uses less digits than its factorization.

13931129564352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1473 counting only the distinct ones).

The product of its digits is 5248800, while the sum is 54.

The spelling of 13931129564352 in words is "thirteen trillion, nine hundred thirty-one billion, one hundred twenty-nine million, five hundred sixty-four thousand, three hundred fifty-two".