1638096685893 has 24 divisors (see below), whose sum is σ = 2576558618400. Its totient is φ = 998911950624.

The previous prime is 1638096685859. The next prime is 1638096685909. The reversal of 1638096685893 is 3985866908361.

1638096685893 is a `hidden beast` number, since 1 + 6 + 38 + 0 + 9 + 6 + 6 + 8 + 589 + 3 = 666.

It is not a de Polignac number, because 1638096685893 - 2¹⁶ = 1638096620357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1638096685793) 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 23 ways as a sum of consecutive naturals, for example, 165159055 + ... + 165168972.

It is an arithmetic number, because the mean of its divisors is an integer number (107356609100).

Almost surely, 2^{1638096685893} is an apocalyptic number.

It is an amenable number.

1638096685893 is a deficient number, since it is larger than the sum of its proper divisors (938461932507).

1638096685893 is a wasteful number, since it uses less digits than its factorization.

1638096685893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330328081 (or 330328078 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 1638096685893 in words is "one trillion, six hundred thirty-eight billion, ninety-six million, six hundred eighty-five thousand, eight hundred ninety-three".