13395791905638 has 16 divisors (see below), whose sum is σ = 26971393100400. Its totient is φ = 4435295753696.

The previous prime is 13395791905637. The next prime is 13395791905687. The reversal of 13395791905638 is 83650919759331.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13395791905637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7492052745 + ... + 7492054532.

It is an arithmetic number, because the mean of its divisors is an integer number (1685712068775).

Almost surely, 2^{13395791905638} is an apocalyptic number.

13395791905638 is an abundant number, since it is smaller than the sum of its proper divisors (13575601194762).

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

13395791905638 is a wasteful number, since it uses less digits than its factorization.

13395791905638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14984107431.

The product of its (nonzero) digits is 165337200, while the sum is 69.

The spelling of 13395791905638 in words is "thirteen trillion, three hundred ninety-five billion, seven hundred ninety-one million, nine hundred five thousand, six hundred thirty-eight".