13875001638 has 32 divisors (see below), whose sum is σ = 28940513280. Its totient is φ = 4429658880.

The previous prime is 13875001631. The next prime is 13875001663. The reversal of 13875001638 is 83610057831.

13875001638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13875001638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13875001631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366478 + ... + 402561.

It is an arithmetic number, because the mean of its divisors is an integer number (904391040).

Almost surely, 2^13875001638 is an apocalyptic number.

13875001638 is an abundant number, since it is smaller than the sum of its proper divisors (15065511642).

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

13875001638 is a wasteful number, since it uses less digits than its factorization.

13875001638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769172.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 13875001638 in words is "thirteen billion, eight hundred seventy-five million, one thousand, six hundred thirty-eight".