186368112 has 240 divisors, whose sum is σ = 646863360. Its totient is φ = 48895488.

The previous prime is 186368069. The next prime is 186368141. The reversal of 186368112 is 211863681.

186368112 is a `hidden beast` number, since 1 + 8 + 636 + 8 + 1 + 12 = 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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 708493 + ... + 708755.

It is an arithmetic number, because the mean of its divisors is an integer number (2695264).

Almost surely, 2^186368112 is an apocalyptic number.

186368112 is a gapful number since it is divisible by the number (12) 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 186368112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323431680).

186368112 is an abundant number, since it is smaller than the sum of its proper divisors (460495248).

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

186368112 is a wasteful number, since it uses less digits than its factorization.

186368112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 331 counting only the distinct ones).

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

The square root of 186368112 is about 13651.6706669916. The cubic root of 186368112 is about 571.2030729774.

The spelling of 186368112 in words is "one hundred eighty-six million, three hundred sixty-eight thousand, one hundred twelve".