112909196160 has 256 divisors, whose sum is σ = 402579720000. Its totient is φ = 29906362368.

The previous prime is 112909196159. The next prime is 112909196173. The reversal of 112909196160 is 61691909211.

112909196160 is a `hidden beast` number, since 1 + 1 + 29 + 0 + 9 + 1 + 9 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2552794 + ... + 2596646.

Almost surely, 2^112909196160 is an apocalyptic number.

112909196160 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 112909196160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201289860000).

112909196160 is an abundant number, since it is smaller than the sum of its proper divisors (289670523840).

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

112909196160 is a wasteful number, since it uses less digits than its factorization.

112909196160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44030 (or 44012 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 45.

The spelling of 112909196160 in words is "one hundred twelve billion, nine hundred nine million, one hundred ninety-six thousand, one hundred sixty".