112268416 has 128 divisors (see below), whose sum is σ = 262180800. Its totient is φ = 47443968.

The previous prime is 112268413. The next prime is 112268423. The reversal of 112268416 is 614862211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×112268416² = 25208394462298112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112268413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1675615 + ... + 1675681.

Almost surely, 2^112268416 is an apocalyptic number.

112268416 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 112268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131090400).

112268416 is an abundant number, since it is smaller than the sum of its proper divisors (149912384).

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

112268416 is a wasteful number, since it uses less digits than its factorization.

112268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 112268416 is about 10595.6791193392. The cubic root of 112268416 is about 482.4132174992.

The spelling of 112268416 in words is "one hundred twelve million, two hundred sixty-eight thousand, four hundred sixteen".