112164839424 has 560 divisors, whose sum is σ = 371475219456. Its totient is φ = 33721712640.

The previous prime is 112164839401. The next prime is 112164839443. The reversal of 112164839424 is 424938461211.

112164839424 is a `hidden beast` number, since 1 + 1 + 216 + 4 + 8 + 3 + 9 + 424 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112164839424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883187649 + ... + 883187775.

Almost surely, 2^112164839424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112164839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185737609728).

112164839424 is an abundant number, since it is smaller than the sum of its proper divisors (259310380032).

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

112164839424 is an frugal number, since it uses more digits than its factorization.

112164839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 143 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 112164839424 in words is "one hundred twelve billion, one hundred sixty-four million, eight hundred thirty-nine thousand, four hundred twenty-four".