112186368 has 264 divisors, whose sum is σ = 388307712. Its totient is φ = 30523392.

The previous prime is 112186367. The next prime is 112186447. The reversal of 112186368 is 863681211.

112186368 is a `hidden beast` number, since 1 + 1 + 2 + 18 + 636 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (13824) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112186363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2386921 + ... + 2386967.

Almost surely, 2^112186368 is an apocalyptic number.

112186368 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 112186368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194153856).

112186368 is an abundant number, since it is smaller than the sum of its proper divisors (276121344).

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

112186368 is a wasteful number, since it uses less digits than its factorization.

112186368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 112186368 is about 10591.8066447608. The cubic root of 112186368 is about 482.2956697886.

The spelling of 112186368 in words is "one hundred twelve million, one hundred eighty-six thousand, three hundred sixty-eight".