10638442116 has 72 divisors (see below), whose sum is σ = 27013701624. Its totient is φ = 3530096640.

The previous prime is 10638442097. The next prime is 10638442153. The reversal of 10638442116 is 61124483601.

10638442116 is a `hidden beast` number, since 1 + 0 + 638 + 4 + 4 + 2 + 1 + 16 = 666.

10638442116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 861187716 + 9777254400 = 29346^2 + 98880^2 .

It is a super-2 number, since 2×10638442116² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13979176 + ... + 13979936.

Almost surely, 2^10638442116 is an apocalyptic number.

It is an amenable number.

10638442116 is an abundant number, since it is smaller than the sum of its proper divisors (16375259508).

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

10638442116 is a wasteful number, since it uses less digits than its factorization.

10638442116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10638442116 in words is "ten billion, six hundred thirty-eight million, four hundred forty-two thousand, one hundred sixteen".