112837959936 has 216 divisors, whose sum is σ = 356981480856. Its totient is φ = 34063810560.

The previous prime is 112837959931. The next prime is 112837959961. The reversal of 112837959936 is 639959738211.

112837959936 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 3 + 7 + 9 + 599 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24186470400 + 88651489536 = 155520^2 + 297744^2 .

It is a super-2 number, since 2×112837959936² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112837959931) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1551916 + ... + 1622996.

It is an arithmetic number, because the mean of its divisors is an integer number (1652692041).

Almost surely, 2^112837959936 is an apocalyptic number.

112837959936 is a gapful number since it is divisible by the number (16) 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 112837959936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178490740428).

112837959936 is an abundant number, since it is smaller than the sum of its proper divisors (244143520920).

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

112837959936 is a wasteful number, since it uses less digits than its factorization.

112837959936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71169 (or 71152 counting only the distinct ones).

The product of its digits is 22044960, while the sum is 63.

The spelling of 112837959936 in words is "one hundred twelve billion, eight hundred thirty-seven million, nine hundred fifty-nine thousand, nine hundred thirty-six".