13979900613504 has 768 divisors, whose sum is σ = 47556791124480. Its totient is φ = 3551546179584.

The previous prime is 13979900613499. The next prime is 13979900613533. The reversal of 13979900613504 is 40531600997931.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7307840452 + ... + 7307842364.

It is an arithmetic number, because the mean of its divisors is an integer number (61922905110).

Almost surely, 2^{13979900613504} is an apocalyptic number.

13979900613504 is a gapful number since it is divisible by the number (14) 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 13979900613504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778395562240).

13979900613504 is an abundant number, since it is smaller than the sum of its proper divisors (33576890510976).

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

13979900613504 is a wasteful number, since it uses less digits than its factorization.

13979900613504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 57.

The spelling of 13979900613504 in words is "thirteen trillion, nine hundred seventy-nine billion, nine hundred million, six hundred thirteen thousand, five hundred four".