112444956241920 has 1248 divisors, whose sum is σ = 430885078041600. Its totient is φ = 28045699448832.

The previous prime is 112444956241907. The next prime is 112444956241979. The reversal of 112444956241920 is 29142659444211.

It is a happy number.

112444956241920 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 4 + 4 + 9 + 5 + 624 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7469929114 + ... + 7469944166.

It is an arithmetic number, because the mean of its divisors is an integer number (345260479200).

Almost surely, 2^{112444956241920} is an apocalyptic number.

112444956241920 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 112444956241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215442539020800).

112444956241920 is an abundant number, since it is smaller than the sum of its proper divisors (318440121799680).

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

112444956241920 is an equidigital number, since it uses as much as digits as its factorization.

112444956241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15195 (or 15161 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 112444956241920 in words is "one hundred twelve trillion, four hundred forty-four billion, nine hundred fifty-six million, two hundred forty-one thousand, nine hundred twenty".