112444416 has 264 divisors, whose sum is σ = 392041440. Its totient is φ = 31739904.

The previous prime is 112444391. The next prime is 112444433. The reversal of 112444416 is 614444211.

112444416 is a `hidden beast` number, since 1 + 1 + 244 + 4 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112444416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354711 + ... + 1354793.

Almost surely, 2^112444416 is an apocalyptic number.

112444416 is a gapful number since it is divisible by the number (16) 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 112444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196020720).

112444416 is an abundant number, since it is smaller than the sum of its proper divisors (279597024).

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

112444416 is an equidigital number, since it uses as much as digits as its factorization.

112444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 112444416 is about 10603.9811391760. The cubic root of 112444416 is about 482.6651743728.

Adding to 112444416 its reverse (614444211), we get a palindrome (726888627).

The spelling of 112444416 in words is "one hundred twelve million, four hundred forty-four thousand, four hundred sixteen".