112140252956160 has 4800 divisors, whose sum is σ = 509643883203840. Its totient is φ = 23290675200000.

The previous prime is 112140252956143. The next prime is 112140252956191. The reversal of 112140252956160 is 61659252041211.

112140252956160 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 0 + 2 + 5 + 29 + 5 + 616 + 0 = 666.

It is a super-3 number, since 3×112140252956160³ (a number of 43 digits) contains 333 as substring.

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 446773916035 + ... + 446773916285.

Almost surely, 2^{112140252956160} is an apocalyptic number.

112140252956160 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 112140252956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254821941601920).

112140252956160 is an abundant number, since it is smaller than the sum of its proper divisors (397503630247680).

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

112140252956160 is a wasteful number, since it uses less digits than its factorization.

112140252956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 112140252956160 in words is "one hundred twelve trillion, one hundred forty billion, two hundred fifty-two million, nine hundred fifty-six thousand, one hundred sixty".