114508800 has 396 divisors, whose sum is σ = 475166016. Its totient is φ = 25804800.

The previous prime is 114508799. The next prime is 114508813. The reversal of 114508800 is 8805411.

It is a super-2 number, since 2×114508800² = 26224530554880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1612765 + ... + 1612835.

Almost surely, 2^114508800 is an apocalyptic number.

114508800 is a gapful number since it is divisible by the number (10) 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 114508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237583008).

114508800 is an abundant number, since it is smaller than the sum of its proper divisors (360657216).

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

114508800 is a wasteful number, since it uses less digits than its factorization.

114508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 114508800 is about 10700.8784686118. The cubic root of 114508800 is about 485.6010545082.

The spelling of 114508800 in words is "one hundred fourteen million, five hundred eight thousand, eight hundred".