112388544 has 84 divisors (see below), whose sum is σ = 330067920. Its totient is φ = 36541440.

The previous prime is 112388533. The next prime is 112388587. The reversal of 112388544 is 445883211.

112388544 is a `hidden beast` number, since 11 + 23 + 88 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 112388499 and 112388508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21237 + ... + 25995.

It is an arithmetic number, because the mean of its divisors is an integer number (3929380).

Almost surely, 2^112388544 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 112388544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165033960).

112388544 is an abundant number, since it is smaller than the sum of its proper divisors (217679376).

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

112388544 is a wasteful number, since it uses less digits than its factorization.

112388544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4818 (or 4805 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 112388544 is about 10601.3463295942. The cubic root of 112388544 is about 482.5852180192.

The spelling of 112388544 in words is "one hundred twelve million, three hundred eighty-eight thousand, five hundred forty-four".