112646681043264 has 168 divisors, whose sum is σ = 329034531151872. Its totient is φ = 36833586416640.

The previous prime is 112646681043263. The next prime is 112646681043277. The reversal of 112646681043264 is 462340186646211.

112646681043264 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 466 + 81 + 0 + 43 + 2 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112646681043264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112646681043263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165457857 + ... + 166137279.

It is an arithmetic number, because the mean of its divisors is an integer number (1958538875904).

Almost surely, 2^{112646681043264} 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 112646681043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164517265575936).

112646681043264 is an abundant number, since it is smaller than the sum of its proper divisors (216387850108608).

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

112646681043264 is a wasteful number, since it uses less digits than its factorization.

112646681043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684925 (or 684912 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 112646681043264 in words is "one hundred twelve trillion, six hundred forty-six billion, six hundred eighty-one million, forty-three thousand, two hundred sixty-four".