112846344336 has 360 divisors, whose sum is σ = 364507503360. Its totient is φ = 32522688000.

The previous prime is 112846344319. The next prime is 112846344341. The reversal of 112846344336 is 633443648211.

112846344336 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 4 + 634 + 4 + 3 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112846344291 and 112846344300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31866726 + ... + 31870266.

Almost surely, 2^112846344336 is an apocalyptic number.

112846344336 is a gapful number since it is divisible by the number (16) 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 112846344336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182253751680).

112846344336 is an abundant number, since it is smaller than the sum of its proper divisors (251661159024).

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

112846344336 is a wasteful number, since it uses less digits than its factorization.

112846344336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3667 (or 3647 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 112846344336 in words is "one hundred twelve billion, eight hundred forty-six million, three hundred forty-four thousand, three hundred thirty-six".