112444802304 has 288 divisors, whose sum is σ = 324805662720. Its totient is φ = 34427559936.

The previous prime is 112444802237. The next prime is 112444802357. The reversal of 112444802304 is 403208444211.

112444802304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116281629 + ... + 116282595.

It is an arithmetic number, because the mean of its divisors is an integer number (1127797440).

Almost surely, 2^112444802304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112444802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162402831360).

112444802304 is an abundant number, since it is smaller than the sum of its proper divisors (212360860416).

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

112444802304 is a wasteful number, since it uses less digits than its factorization.

112444802304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 112444802304 in words is "one hundred twelve billion, four hundred forty-four million, eight hundred two thousand, three hundred four".