112566168 has 216 divisors, whose sum is σ = 372979620. Its totient is φ = 30401280.

The previous prime is 112566161. The next prime is 112566191. The reversal of 112566168 is 861665211.

112566168 is a `hidden beast` number, since 11 + 25 + 6 + 616 + 8 = 666.

It is a super-2 number, since 2×112566168² = 25342284356408448, which contains 22 as substring.

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 (112566161) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3881578 + ... + 3881606.

Almost surely, 2^112566168 is an apocalyptic number.

112566168 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 112566168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186489810).

112566168 is an abundant number, since it is smaller than the sum of its proper divisors (260413452).

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

112566168 is a wasteful number, since it uses less digits than its factorization.

112566168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 58 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 112566168 is about 10609.7204487206. The cubic root of 112566168 is about 482.8393174597.

It can be divided in two parts, 11256 and 6168, that added together give a square (17424 = 132²).

The spelling of 112566168 in words is "one hundred twelve million, five hundred sixty-six thousand, one hundred sixty-eight".