112913184384 has 1024 divisors, whose sum is σ = 452719411200. Its totient is φ = 26754416640.

The previous prime is 112913184367. The next prime is 112913184437. The reversal of 112913184384 is 483481319211.

112913184384 is a `hidden beast` number, since 1 + 1 + 2 + 91 + 3 + 184 + 384 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 439350784 + ... + 439351040.

It is an arithmetic number, because the mean of its divisors is an integer number (442108800).

Almost surely, 2^112913184384 is an apocalyptic number.

112913184384 is a gapful number since it is divisible by the number (14) 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 112913184384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226359705600).

112913184384 is an abundant number, since it is smaller than the sum of its proper divisors (339806226816).

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

112913184384 is a wasteful number, since it uses less digits than its factorization.

112913184384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The spelling of 112913184384 in words is "one hundred twelve billion, nine hundred thirteen million, one hundred eighty-four thousand, three hundred eighty-four".