114808800 has 72 divisors (see below), whose sum is σ = 373710456. Its totient is φ = 30615040.

The previous prime is 114808787. The next prime is 114808807. The reversal of 114808800 is 8808411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114808807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21519 + ... + 26318.

It is an arithmetic number, because the mean of its divisors is an integer number (5190423).

Almost surely, 2^114808800 is an apocalyptic number.

114808800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114808800 is an abundant number, since it is smaller than the sum of its proper divisors (258901656).

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

114808800 is a wasteful number, since it uses less digits than its factorization.

114808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47860 (or 47847 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 114808800 is about 10714.8868402797. The cubic root of 114808800 is about 486.0247578371.

The spelling of 114808800 in words is "one hundred fourteen million, eight hundred eight thousand, eight hundred".