112249110528 has 448 divisors, whose sum is σ = 348407128320. Its totient is φ = 36118462464.

The previous prime is 112249110521. The next prime is 112249110557. The reversal of 112249110528 is 825011942211.

112249110528 is a `hidden beast` number, since 1 + 12 + 2 + 4 + 9 + 110 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112249110492 and 112249110501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112249110521) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 883851201 + ... + 883851327.

Almost surely, 2^112249110528 is an apocalyptic number.

112249110528 is a gapful number since it is divisible by the number (18) 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 112249110528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174203564160).

112249110528 is an abundant number, since it is smaller than the sum of its proper divisors (236158017792).

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

112249110528 is an frugal number, since it uses more digits than its factorization.

112249110528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 112249110528 in words is "one hundred twelve billion, two hundred forty-nine million, one hundred ten thousand, five hundred twenty-eight".