13917979313664 has 320 divisors, whose sum is σ = 38469720351744. Its totient is φ = 4467913261056.

The previous prime is 13917979313657. The next prime is 13917979313677. The reversal of 13917979313664 is 46631397971931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9138528007 + ... + 9138529529.

Almost surely, 2^{13917979313664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13917979313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19234860175872).

13917979313664 is an abundant number, since it is smaller than the sum of its proper divisors (24551741038080).

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

13917979313664 is a wasteful number, since it uses less digits than its factorization.

13917979313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3101 counting only the distinct ones).

The product of its digits is 138883248, while the sum is 69.

The spelling of 13917979313664 in words is "thirteen trillion, nine hundred seventeen billion, nine hundred seventy-nine million, three hundred thirteen thousand, six hundred sixty-four".