112074379941888 has 1728 divisors, whose sum is σ = 413576386423200. Its totient is φ = 28975033221120.

The previous prime is 112074379941829. The next prime is 112074379942001. The reversal of 112074379941888 is 888149973470211.

112074379941888 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 7 + 43 + 7 + 99 + 418 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 196277372643 + ... + 196277373213.

Almost surely, 2^{112074379941888} is an apocalyptic number.

112074379941888 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 112074379941888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206788193211600).

112074379941888 is an abundant number, since it is smaller than the sum of its proper divisors (301502006481312).

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

112074379941888 is a wasteful number, since it uses less digits than its factorization.

112074379941888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 112074379941888 in words is "one hundred twelve trillion, seventy-four billion, three hundred seventy-nine million, nine hundred forty-one thousand, eight hundred eighty-eight".