112842098816832 has 784 divisors, whose sum is σ = 425665153036800. Its totient is φ = 28812808442880.

The previous prime is 112842098816771. The next prime is 112842098816857. The reversal of 112842098816832 is 238618890248211.

112842098816832 is a `hidden beast` number, since 1 + 12 + 8 + 420 + 9 + 8 + 8 + 168 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 112842098816832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 211692019 + ... + 212224397.

Almost surely, 2^{112842098816832} is an apocalyptic number.

112842098816832 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 112842098816832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212832576518400).

112842098816832 is an abundant number, since it is smaller than the sum of its proper divisors (312823054219968).

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

112842098816832 is an equidigital number, since it uses as much as digits as its factorization.

112842098816832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532486 (or 532461 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The spelling of 112842098816832 in words is "one hundred twelve trillion, eight hundred forty-two billion, ninety-eight million, eight hundred sixteen thousand, eight hundred thirty-two".