13920927658368 has 512 divisors, whose sum is σ = 41339369472000. Its totient is φ = 4131855360000.

The previous prime is 13920927658361. The next prime is 13920927658381. The reversal of 13920927658368 is 86385672902931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13920927658361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6184329243 + ... + 6184331493.

It is an arithmetic number, because the mean of its divisors is an integer number (80740956000).

Almost surely, 2^{13920927658368} 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 13920927658368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20669684736000).

13920927658368 is an abundant number, since it is smaller than the sum of its proper divisors (27418441813632).

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

13920927658368 is a wasteful number, since it uses less digits than its factorization.

13920927658368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 13920927658368 in words is "thirteen trillion, nine hundred twenty billion, nine hundred twenty-seven million, six hundred fifty-eight thousand, three hundred sixty-eight".