13978106237664 has 192 divisors, whose sum is σ = 44334376833600. Its totient is φ = 4266766761984.

The previous prime is 13978106237663. The next prime is 13978106237747. The reversal of 13978106237664 is 46673260187931.

It is a happy number.

13978106237664 is a `hidden beast` number, since 1 + 39 + 78 + 106 + 2 + 376 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13978106237663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12316929 + ... + 13403840.

It is an arithmetic number, because the mean of its divisors is an integer number (230908212675).

Almost surely, 2^{13978106237664} is an apocalyptic number.

It is an amenable number.

13978106237664 is an abundant number, since it is smaller than the sum of its proper divisors (30356270595936).

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

13978106237664 is a wasteful number, since it uses less digits than its factorization.

13978106237664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25720842 (or 25720828 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 13978106237664 in words is "thirteen trillion, nine hundred seventy-eight billion, one hundred six million, two hundred thirty-seven thousand, six hundred sixty-four".