93680644136112 has 360 divisors, whose sum is σ = 296078258653632. Its totient is φ = 27610272645120.

The previous prime is 93680644136087. The next prime is 93680644136113. The reversal of 93680644136112 is 21163144608639.

It is a happy number.

93680644136112 is a `hidden beast` number, since 9 + 3 + 6 + 8 + 0 + 6 + 4 + 4 + 13 + 611 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (93680644136113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1774799673 + ... + 1774852455.

Almost surely, 2^{93680644136112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93680644136112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148039129326816).

93680644136112 is an abundant number, since it is smaller than the sum of its proper divisors (202397614517520).

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

93680644136112 is a wasteful number, since it uses less digits than its factorization.

93680644136112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55609 (or 55589 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 93680644136112 in words is "ninety-three trillion, six hundred eighty billion, six hundred forty-four million, one hundred thirty-six thousand, one hundred twelve".