112556664 has 192 divisors, whose sum is σ = 358525440. Its totient is φ = 31553280.

The previous prime is 112556659. The next prime is 112556669. The reversal of 112556664 is 466655211.

It is an interprime number because it is at equal distance from previous prime (112556659) and next prime (112556669).

It is a super-2 number, since 2×112556664² = 25338005221617792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112556669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673909 + ... + 674075.

It is an arithmetic number, because the mean of its divisors is an integer number (1867320).

Almost surely, 2^112556664 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 112556664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

112556664 is an abundant number, since it is smaller than the sum of its proper divisors (245968776).

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

112556664 is a wasteful number, since it uses less digits than its factorization.

112556664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 112556664 is about 10609.2725481062. The cubic root of 112556664 is about 482.8257283145.

The spelling of 112556664 in words is "one hundred twelve million, five hundred fifty-six thousand, six hundred sixty-four".