112476193920 has 1024 divisors, whose sum is σ = 444635136000. Its totient is φ = 26754416640.

The previous prime is 112476193913. The next prime is 112476193933. The reversal of 112476193920 is 29391674211.

112476193920 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 7 + 619 + 3 + 9 + 20 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 437650432 + ... + 437650688.

It is an arithmetic number, because the mean of its divisors is an integer number (434214000).

Almost surely, 2^112476193920 is an apocalyptic number.

112476193920 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 112476193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222317568000).

112476193920 is an abundant number, since it is smaller than the sum of its proper divisors (332158942080).

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

112476193920 is a wasteful number, since it uses less digits than its factorization.

112476193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 112476193920 in words is "one hundred twelve billion, four hundred seventy-six million, one hundred ninety-three thousand, nine hundred twenty".