112609787457024 has 960 divisors, whose sum is σ = 385775008819200. Its totient is φ = 31360031539200.

The previous prime is 112609787456981. The next prime is 112609787457031. The reversal of 112609787457024 is 420754787906211.

112609787457024 is a `hidden beast` number, since 1 + 12 + 6 + 0 + 97 + 87 + 457 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×112609787457024² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 26615404989 + ... + 26615409219.

It is an arithmetic number, because the mean of its divisors is an integer number (401848967520).

Almost surely, 2^{112609787457024} 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 112609787457024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192887504409600).

112609787457024 is an abundant number, since it is smaller than the sum of its proper divisors (273165221362176).

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

112609787457024 is a wasteful number, since it uses less digits than its factorization.

112609787457024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4544 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 112609787457024 in words is "one hundred twelve trillion, six hundred nine billion, seven hundred eighty-seven million, four hundred fifty-seven thousand, twenty-four".