13764608013 has 32 divisors (see below), whose sum is σ = 20181208320. Its totient is φ = 8293824000.

The previous prime is 13764607993. The next prime is 13764608017. The reversal of 13764608013 is 31080646731.

It is not a de Polignac number, because 13764608013 - 2⁶ = 13764607949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13764608017) 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, 338263 + ... + 376763.

It is an arithmetic number, because the mean of its divisors is an integer number (630662760).

Almost surely, 2^13764608013 is an apocalyptic number.

13764608013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13764608013 is a deficient number, since it is larger than the sum of its proper divisors (6416600307).

13764608013 is a wasteful number, since it uses less digits than its factorization.

13764608013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38709.

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 13764608013 in words is "thirteen billion, seven hundred sixty-four million, six hundred eight thousand, thirteen".