112506698304 has 1344 divisors, whose sum is σ = 459175754240. Its totient is φ = 26605117440.

The previous prime is 112506698299. The next prime is 112506698321. The reversal of 112506698304 is 403896605211.

112506698304 is a `hidden beast` number, since 1 + 1 + 2 + 506 + 69 + 83 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 112506698304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1541187612 + ... + 1541187684.

Almost surely, 2^112506698304 is an apocalyptic number.

112506698304 is a gapful number since it is divisible by the number (14) 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 112506698304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229587877120).

112506698304 is an abundant number, since it is smaller than the sum of its proper divisors (346669055936).

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

112506698304 is an equidigital number, since it uses as much as digits as its factorization.

112506698304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 112506698304 in words is "one hundred twelve billion, five hundred six million, six hundred ninety-eight thousand, three hundred four".