112011461157960 has 640 divisors, whose sum is σ = 490620358609920. Its totient is φ = 22242998919168.

The previous prime is 112011461157907. The next prime is 112011461157971. The reversal of 112011461157960 is 69751164110211.

112011461157960 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 1 + 1 + 4 + 6 + 11 + 579 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6161424 + ... + 16185983.

It is an arithmetic number, because the mean of its divisors is an integer number (766594310328).

Almost surely, 2^{112011461157960} is an apocalyptic number.

112011461157960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112011461157960 is an abundant number, since it is smaller than the sum of its proper divisors (378608897451960).

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

112011461157960 is a wasteful number, since it uses less digits than its factorization.

112011461157960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22347467 (or 22347454 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 112011461157960 in words is "one hundred twelve trillion, eleven billion, four hundred sixty-one million, one hundred fifty-seven thousand, nine hundred sixty".