13038427764369 has 24 divisors (see below), whose sum is σ = 21888563161920. Its totient is φ = 7324249976928.

The previous prime is 13038427764367. The next prime is 13038427764391. The reversal of 13038427764369 is 96346772483031.

It is a happy number.

13038427764369 is a `hidden beast` number, since 1 + 30 + 3 + 84 + 27 + 76 + 436 + 9 = 666.

It is not a de Polignac number, because 13038427764369 - 2¹ = 13038427764367 is a prime.

It is a super-2 number, since 2×13038427764369² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13038427764367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1753887562 + ... + 1753894995.

It is an arithmetic number, because the mean of its divisors is an integer number (912023465080).

Almost surely, 2^{13038427764369} is an apocalyptic number.

It is an amenable number.

13038427764369 is a deficient number, since it is larger than the sum of its proper divisors (8850135397551).

13038427764369 is a wasteful number, since it uses less digits than its factorization.

13038427764369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507782629 (or 3507782626 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 63.

The spelling of 13038427764369 in words is "thirteen trillion, thirty-eight billion, four hundred twenty-seven million, seven hundred sixty-four thousand, three hundred sixty-nine".