114348800 has 108 divisors (see below), whose sum is σ = 299965176. Its totient is φ = 43008000.

The previous prime is 114348799. The next prime is 114348853. The reversal of 114348800 is 8843411.

It is a super-2 number, since 2×114348800² = 26151296122880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108275 + ... + 109325.

Almost surely, 2^114348800 is an apocalyptic number.

114348800 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 114348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149982588).

114348800 is an abundant number, since it is smaller than the sum of its proper divisors (185616376).

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

114348800 is a wasteful number, since it uses less digits than its factorization.

114348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 114348800 is about 10693.3998335422. The cubic root of 114348800 is about 485.3747767478.

The spelling of 114348800 in words is "one hundred fourteen million, three hundred forty-eight thousand, eight hundred".