13921031729088 has 784 divisors, whose sum is σ = 46885691750400. Its totient is φ = 4060975564800.

The previous prime is 13921031729023. The next prime is 13921031729123. The reversal of 13921031729088 is 88092713012931.

It is a happy number.

13921031729088 is a `hidden beast` number, since 1 + 39 + 2 + 1 + 0 + 317 + 290 + 8 + 8 = 666.

13921031729088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3166027306 + ... + 3166031702.

Almost surely, 2^{13921031729088} is an apocalyptic number.

13921031729088 is a gapful number since it is divisible by the number (18) 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 13921031729088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442845875200).

13921031729088 is an abundant number, since it is smaller than the sum of its proper divisors (32964660021312).

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

13921031729088 is a wasteful number, since it uses less digits than its factorization.

13921031729088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4643 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 13921031729088 in words is "thirteen trillion, nine hundred twenty-one billion, thirty-one million, seven hundred twenty-nine thousand, eighty-eight".