112249564560 has 480 divisors, whose sum is σ = 465283612800. Its totient is φ = 24771640320.

The previous prime is 112249564507. The next prime is 112249564579. The reversal of 112249564560 is 65465942211.

112249564560 is a `hidden beast` number, since 1 + 1 + 2 + 24 + 9 + 5 + 64 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3051075 + ... + 3087645.

It is an arithmetic number, because the mean of its divisors is an integer number (969340860).

Almost surely, 2^112249564560 is an apocalyptic number.

112249564560 is a gapful number since it is divisible by the number (10) 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 112249564560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232641806400).

112249564560 is an abundant number, since it is smaller than the sum of its proper divisors (353034048240).

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

112249564560 is a wasteful number, since it uses less digits than its factorization.

112249564560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36636 (or 36617 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 112249564560 in words is "one hundred twelve billion, two hundred forty-nine million, five hundred sixty-four thousand, five hundred sixty".