112041557266464 has 1152 divisors, whose sum is σ = 396157528166400. Its totient is φ = 29325557882880.

The previous prime is 112041557266433. The next prime is 112041557266501. The reversal of 112041557266464 is 464662755140211.

112041557266464 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 1 + 5 + 572 + 6 + 6 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112041557266464.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78405567702 + ... + 78405569130.

It is an arithmetic number, because the mean of its divisors is an integer number (343886743200).

Almost surely, 2^{112041557266464} is an apocalyptic number.

112041557266464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112041557266464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198078764083200).

112041557266464 is an abundant number, since it is smaller than the sum of its proper divisors (284115970899936).

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

112041557266464 is a wasteful number, since it uses less digits than its factorization.

112041557266464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 112041557266464 in words is "one hundred twelve trillion, forty-one billion, five hundred fifty-seven million, two hundred sixty-six thousand, four hundred sixty-four".