112784592316032 has 2560 divisors, whose sum is σ = 480471176908800. Its totient is φ = 25367486791680.

The previous prime is 112784592316031. The next prime is 112784592316061. The reversal of 112784592316032 is 230613295487211.

112784592316032 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 8 + 4 + 5 + 9 + 23 + 1 + 603 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 112784592316032.

It is not an unprimeable number, because it can be changed into a prime (112784592316031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7009164307 + ... + 7009180397.

It is an arithmetic number, because the mean of its divisors is an integer number (187684053480).

It is a 1-persistent number, because it is pandigital, but 2⋅112784592316032 = 225569184632064 is not.

Almost surely, 2^{112784592316032} is an apocalyptic number.

112784592316032 is a gapful number since it is divisible by the number (12) 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 112784592316032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240235588454400).

112784592316032 is an abundant number, since it is smaller than the sum of its proper divisors (367686584592768).

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

112784592316032 is a wasteful number, since it uses less digits than its factorization.

112784592316032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16196 (or 16175 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 112784592316032 in words is "one hundred twelve trillion, seven hundred eighty-four billion, five hundred ninety-two million, three hundred sixteen thousand, thirty-two".