10638816192 has 84 divisors (see below), whose sum is σ = 30509951680. Its totient is φ = 3544445952.

The previous prime is 10638816191. The next prime is 10638816217. The reversal of 10638816192 is 29161883601.

10638816192 is a `hidden beast` number, since 1 + 0 + 638 + 8 + 1 + 6 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×10638816192² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638816191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1562748 + ... + 1569540.

Almost surely, 2^10638816192 is an apocalyptic number.

10638816192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10638816192 is an abundant number, since it is smaller than the sum of its proper divisors (19871135488).

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

10638816192 is a wasteful number, since it uses less digits than its factorization.

10638816192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10638816192 in words is "ten billion, six hundred thirty-eight million, eight hundred sixteen thousand, one hundred ninety-two".