114861600 has 432 divisors, whose sum is σ = 482594112. Its totient is φ = 25159680.

The previous prime is 114861589. The next prime is 114861601. The reversal of 114861600 is 6168411.

114861600 is a `hidden beast` number, since 1 + 1 + 48 + 616 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114861601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2167174 + ... + 2167226.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^114861600 is an apocalyptic number.

114861600 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 114861600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241297056).

114861600 is an abundant number, since it is smaller than the sum of its proper divisors (367732512).

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

114861600 is a wasteful number, since it uses less digits than its factorization.

114861600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 114861600 is about 10717.3504188302. The cubic root of 114861600 is about 486.0992532134.

The spelling of 114861600 in words is "one hundred fourteen million, eight hundred sixty-one thousand, six hundred".