112416416 has 48 divisors (see below), whose sum is σ = 261112320. Its totient is φ = 46621440.

The previous prime is 112416401. The next prime is 112416467. The reversal of 112416416 is 614614211.

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 7 ways as a sum of consecutive naturals, for example, 1151 + ... + 15038.

It is an arithmetic number, because the mean of its divisors is an integer number (5439840).

Almost surely, 2^112416416 is an apocalyptic number.

112416416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112416416 is an abundant number, since it is smaller than the sum of its proper divisors (148695904).

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

112416416 is a wasteful number, since it uses less digits than its factorization.

112416416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16237 (or 16229 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 112416416 is about 10602.6607981204. The cubic root of 112416416 is about 482.6251079195.

The spelling of 112416416 in words is "one hundred twelve million, four hundred sixteen thousand, four hundred sixteen".