114580416 has 84 divisors (see below), whose sum is σ = 313825128. Its totient is φ = 36868608.

The previous prime is 114580397. The next prime is 114580447. The reversal of 114580416 is 614085411.

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, 902145 + ... + 902271.

Almost surely, 2^114580416 is an apocalyptic number.

114580416 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 114580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156912564).

114580416 is an abundant number, since it is smaller than the sum of its proper divisors (199244712).

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

114580416 is an equidigital number, since it uses as much as digits as its factorization.

114580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114580416 is about 10704.2242128984. The cubic root of 114580416 is about 485.7022681489.

The spelling of 114580416 in words is "one hundred fourteen million, five hundred eighty thousand, four hundred sixteen".