112441988880 has 960 divisors, whose sum is σ = 447496358400. Its totient is φ = 25050415104.

The previous prime is 112441988843. The next prime is 112441988891. The reversal of 112441988880 is 88889144211.

It is a happy number.

112441988880 is a `hidden beast` number, since 112 + 441 + 9 + 8 + 8 + 8 + 80 = 666.

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, 565035021 + ... + 565035219.

It is an arithmetic number, because the mean of its divisors is an integer number (466142040).

Almost surely, 2^112441988880 is an apocalyptic number.

112441988880 is a gapful number since it is divisible by the number (10) 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 112441988880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223748179200).

112441988880 is an abundant number, since it is smaller than the sum of its proper divisors (335054369520).

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

112441988880 is a wasteful number, since it uses less digits than its factorization.

112441988880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 54.

The spelling of 112441988880 in words is "one hundred twelve billion, four hundred forty-one million, nine hundred eighty-eight thousand, eight hundred eighty".