112899374235648 has 5040 divisors, whose sum is σ = 493859568464640. Its totient is φ = 25282923724800.

The previous prime is 112899374235619. The next prime is 112899374235679. The reversal of 112899374235648 is 846532473998211.

112899374235648 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 9 + 37 + 4 + 23 + 564 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (627056640) is a multiple of the sum of its prime divisors (126).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1590132031453 + ... + 1590132031523.

It is an arithmetic number, because the mean of its divisors is an integer number (97988009616).

Almost surely, 2^{112899374235648} is an apocalyptic number.

112899374235648 is a gapful number since it is divisible by the number (18) 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 112899374235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246929784232320).

112899374235648 is an abundant number, since it is smaller than the sum of its proper divisors (380960194228992).

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

112899374235648 is an equidigital number, since it uses as much as digits as its factorization.

112899374235648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 126 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 112899374235648 in words is "one hundred twelve trillion, eight hundred ninety-nine billion, three hundred seventy-four million, two hundred thirty-five thousand, six hundred forty-eight".