114406381800 has 96 divisors (see below), whose sum is σ = 394066444800. Its totient is φ = 30508367040.

The previous prime is 114406381787. The next prime is 114406381819. The reversal of 114406381800 is 8183604411.

It is a happy number.

114406381800 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 0 + 638 + 18 + 0 + 0 = 666.

It is a super-3 number, since 3×114406381800³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10587784 + ... + 10598583.

It is an arithmetic number, because the mean of its divisors is an integer number (4104858800).

Almost surely, 2^114406381800 is an apocalyptic number.

114406381800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114406381800 is an abundant number, since it is smaller than the sum of its proper divisors (279660063000).

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

114406381800 is a wasteful number, since it uses less digits than its factorization.

114406381800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21186392 (or 21186377 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 114406381800 in words is "one hundred fourteen billion, four hundred six million, three hundred eighty-one thousand, eight hundred".