112249565356032 has 336 divisors, whose sum is σ = 349285329982680. Its totient is φ = 34529844658176.

The previous prime is 112249565355973. The next prime is 112249565356067. The reversal of 112249565356032 is 230653565942211.

112249565356032 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 49 + 5 + 6 + 5 + 3 + 560 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84909885198336 + 27339680157696 = 9214656^2 + 5228736^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112249565356032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4705087848 + ... + 4705111704.

Almost surely, 2^{112249565356032} is an apocalyptic number.

112249565356032 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 112249565356032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174642664991340).

112249565356032 is an abundant number, since it is smaller than the sum of its proper divisors (237035764626648).

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

112249565356032 is a wasteful number, since it uses less digits than its factorization.

112249565356032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28811 (or 28784 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 112249565356032 in words is "one hundred twelve trillion, two hundred forty-nine billion, five hundred sixty-five million, three hundred fifty-six thousand, thirty-two".