112296536352000 has 6912 divisors, whose sum is σ = 575879097830400. Its totient is φ = 21445337088000.

The previous prime is 112296536351981. The next prime is 112296536352017. The reversal of 112296536352000 is 253635692211.

112296536352000 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 9 + 6 + 5 + 3 + 635 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a super-2 number, since 2×112296536352000² (a number of 29 digits) contains 22 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 767 ways as a sum of consecutive naturals, for example, 490377887886 + ... + 490377888114.

It is an arithmetic number, because the mean of its divisors is an integer number (83315841700).

Almost surely, 2^{112296536352000} is an apocalyptic number.

112296536352000 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 112296536352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287939548915200).

112296536352000 is an abundant number, since it is smaller than the sum of its proper divisors (463582561478400).

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

112296536352000 is an equidigital number, since it uses as much as digits as its factorization.

112296536352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 112296536352000 in words is "one hundred twelve trillion, two hundred ninety-six billion, five hundred thirty-six million, three hundred fifty-two thousand".