114456080 has 40 divisors (see below), whose sum is σ = 266798400. Its totient is φ = 45664128.

The previous prime is 114456079. The next prime is 114456091. The reversal of 114456080 is 80654411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33491 + ... + 36749.

It is an arithmetic number, because the mean of its divisors is an integer number (6669960).

Almost surely, 2^114456080 is an apocalyptic number.

114456080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114456080 is an abundant number, since it is smaller than the sum of its proper divisors (152342320).

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

114456080 is a wasteful number, since it uses less digits than its factorization.

114456080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3711 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 114456080 is about 10698.4148358530. The cubic root of 114456080 is about 485.5265192833.

The spelling of 114456080 in words is "one hundred fourteen million, four hundred fifty-six thousand, eighty".