13792064508464 has 20 divisors (see below), whose sum is σ = 29151409075080. Its totient is φ = 6269120231040.

The previous prime is 13792064508359. The next prime is 13792064508479. The reversal of 13792064508464 is 46480546029731.

It is a super-3 number, since 3×13792064508464³ (a number of 40 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 39182001269 + ... + 39182001620.

It is an arithmetic number, because the mean of its divisors is an integer number (1457570453754).

It is a 1-persistent number, because it is pandigital, but 2⋅13792064508464 = 27584129016928 is not.

Almost surely, 2^{13792064508464} is an apocalyptic number.

It is an amenable number.

13792064508464 is an abundant number, since it is smaller than the sum of its proper divisors (15359344566616).

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

13792064508464 is a wasteful number, since it uses less digits than its factorization.

13792064508464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78364002908 (or 78364002902 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 59.

The spelling of 13792064508464 in words is "thirteen trillion, seven hundred ninety-two billion, sixty-four million, five hundred eight thousand, four hundred sixty-four".