112946844226752 has 168 divisors, whose sum is σ = 330315617548800. Its totient is φ = 36890957053440.

The previous prime is 112946844226747. The next prime is 112946844226759. The reversal of 112946844226752 is 257622448649211.

112946844226752 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 468 + 44 + 22 + 67 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112946844226752.

It is not an unprimeable number, because it can be changed into a prime (112946844226759) 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 23 ways as a sum of consecutive naturals, for example, 1805752 + ... + 15137847.

Almost surely, 2^{112946844226752} is an apocalyptic number.

112946844226752 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 112946844226752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165157808774400).

112946844226752 is an abundant number, since it is smaller than the sum of its proper divisors (217368773322048).

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

112946844226752 is a wasteful number, since it uses less digits than its factorization.

112946844226752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16943851 (or 16943838 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 112946844226752 in words is "one hundred twelve trillion, nine hundred forty-six billion, eight hundred forty-four million, two hundred twenty-six thousand, seven hundred fifty-two".