114708800 has 42 divisors (see below), whose sum is σ = 282259278. Its totient is φ = 45882880.

The previous prime is 114708791. The next prime is 114708817. The reversal of 114708800 is 8807411.

It can be written as a sum of positive squares in 3 ways, for example, as 817216 + 113891584 = 904^2 + 10672^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34247 + ... + 37446.

It is an arithmetic number, because the mean of its divisors is an integer number (6720459).

Almost surely, 2^114708800 is an apocalyptic number.

114708800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114708800 is an abundant number, since it is smaller than the sum of its proper divisors (167550478).

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

114708800 is an equidigital number, since it uses as much as digits as its factorization.

114708800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71715 (or 71700 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 114708800 is about 10710.2194188541. The cubic root of 114708800 is about 485.8836054930.

The spelling of 114708800 in words is "one hundred fourteen million, seven hundred eight thousand, eight hundred".