114423712200 has 972 divisors, whose sum is σ = 482046090435. Its totient is φ = 24248125440.

The previous prime is 114423712189. The next prime is 114423712223. The reversal of 114423712200 is 2217324411.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

114423712200 is a `hidden beast` number, since 1 + 1 + 442 + 3 + 7 + 12 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 74506069764 + 39917642436 = 272958^2 + 199794^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=239190.

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 1707816567 + ... + 1707816633.

Almost surely, 2^114423712200 is an apocalyptic number.

114423712200 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 114423712200

114423712200 is an abundant number, since it is smaller than the sum of its proper divisors (367622378235).

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

114423712200 is a wasteful number, since it uses less digits than its factorization.

114423712200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 114423712200 in words is "one hundred fourteen billion, four hundred twenty-three million, seven hundred twelve thousand, two hundred".