114187255200 has 432 divisors, whose sum is σ = 423498269376. Its totient is φ = 30017433600.

The previous prime is 114187255181. The next prime is 114187255207. The reversal of 114187255200 is 2552781411.

It is a happy number.

114187255200 is a `hidden beast` number, since 11 + 41 + 87 + 2 + 5 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (114187255207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13798264 + ... + 13806536.

It is an arithmetic number, because the mean of its divisors is an integer number (980320068).

Almost surely, 2^114187255200 is an apocalyptic number.

114187255200 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 114187255200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211749134688).

114187255200 is an abundant number, since it is smaller than the sum of its proper divisors (309311014176).

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

114187255200 is an equidigital number, since it uses as much as digits as its factorization.

114187255200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 114187255200 in words is "one hundred fourteen billion, one hundred eighty-seven million, two hundred fifty-five thousand, two hundred".