112444816 has 45 divisors (see below), whose sum is σ = 240465729. Its totient is φ = 50899200.

The previous prime is 112444799. The next prime is 112444823. The reversal of 112444816 is 618444211.

The square root of 112444816 is 10604.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 84566416 + 27878400 = 9196^2 + 5280^2 .

It is a Duffinian number.

Its product of digits (6144) is a multiple of the sum of its prime factors (512).

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 8 ways as a sum of consecutive naturals, for example, 466456 + ... + 466696.

Almost surely, 2^112444816 is an apocalyptic number.

112444816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

112444816 is the 10604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112444816

112444816 is an abundant number, since it is smaller than the sum of its proper divisors (128020913).

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

112444816 is an equidigital number, since it uses as much as digits as its factorization.

112444816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 254 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The cubic root of 112444816 is about 482.6657467025.

The spelling of 112444816 in words is "one hundred twelve million, four hundred forty-four thousand, eight hundred sixteen".