112229266176 has 216 divisors, whose sum is σ = 350163690240. Its totient is φ = 35782788096.

The previous prime is 112229266159. The next prime is 112229266181. The reversal of 112229266176 is 671662922211.

112229266176 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 2 + 9 + 26 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 1391565 + ... + 1470003.

Almost surely, 2^112229266176 is an apocalyptic number.

112229266176 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 112229266176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175081845120).

112229266176 is an abundant number, since it is smaller than the sum of its proper divisors (237934424064).

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

112229266176 is an frugal number, since it uses more digits than its factorization.

112229266176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78493 (or 78467 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 112229266176 in words is "one hundred twelve billion, two hundred twenty-nine million, two hundred sixty-six thousand, one hundred seventy-six".