112186944 has 280 divisors, whose sum is σ = 376184160. Its totient is φ = 32845824.

The previous prime is 112186913. The next prime is 112186951. The reversal of 112186944 is 449681211.

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 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 (108).

It is a junction number, because it is equal to n+sod(n) for n = 112186899 and 112186908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1674399 + ... + 1674465.

Almost surely, 2^112186944 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 112186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188092080).

112186944 is an abundant number, since it is smaller than the sum of its proper divisors (263997216).

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

112186944 is a wasteful number, since it uses less digits than its factorization.

112186944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 108 counting only the distinct ones).

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

The square root of 112186944 is about 10591.8338355546. The cubic root of 112186944 is about 482.2964952063.

The spelling of 112186944 in words is "one hundred twelve million, one hundred eighty-six thousand, nine hundred forty-four".