112021941046824 has 224 divisors, whose sum is σ = 315561996525600. Its totient is φ = 37264307230080.

The previous prime is 112021941046819. The next prime is 112021941046859. The reversal of 112021941046824 is 428640149120211.

112021941046824 is a `hidden beast` number, since 1 + 1 + 202 + 1 + 9 + 410 + 4 + 6 + 8 + 24 = 666.

It is a super-2 number, since 2×112021941046824² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112021941046824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8505189759 + ... + 8505202929.

Almost surely, 2^{112021941046824} 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 112021941046824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157780998262800).

112021941046824 is an abundant number, since it is smaller than the sum of its proper divisors (203540055478776).

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

112021941046824 is a wasteful number, since it uses less digits than its factorization.

112021941046824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16067 (or 16048 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 112021941046824 in words is "one hundred twelve trillion, twenty-one billion, nine hundred forty-one million, forty-six thousand, eight hundred twenty-four".