112080468960 has 192 divisors, whose sum is σ = 393547714560. Its totient is φ = 29791664640.

The previous prime is 112080468923. The next prime is 112080468967. The reversal of 112080468960 is 69864080211.

112080468960 is a `hidden beast` number, since 1 + 1 + 20 + 80 + 468 + 96 + 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 not an unprimeable number, because it can be changed into a prime (112080468967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1301809 + ... + 1385231.

It is an arithmetic number, because the mean of its divisors is an integer number (2049727680).

Almost surely, 2^112080468960 is an apocalyptic number.

112080468960 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 112080468960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196773857280).

112080468960 is an abundant number, since it is smaller than the sum of its proper divisors (281467245600).

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

112080468960 is a wasteful number, since it uses less digits than its factorization.

112080468960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83758 (or 83744 counting only the distinct ones).

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

The spelling of 112080468960 in words is "one hundred twelve billion, eighty million, four hundred sixty-eight thousand, nine hundred sixty".