114652800 has 192 divisors, whose sum is σ = 419913600. Its totient is φ = 30551040.

The previous prime is 114652789. The next prime is 114652807. The reversal of 114652800 is 8256411.

114652800 is a `hidden beast` number, since 1 + 1 + 4 + 652 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114652807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85737 + ... + 87063.

It is an arithmetic number, because the mean of its divisors is an integer number (2187050).

Almost surely, 2^114652800 is an apocalyptic number.

114652800 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 114652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209956800).

114652800 is an abundant number, since it is smaller than the sum of its proper divisors (305260800).

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

114652800 is a wasteful number, since it uses less digits than its factorization.

114652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114652800 is about 10707.6047741780. The cubic root of 114652800 is about 485.8045243445.

The spelling of 114652800 in words is "one hundred fourteen million, six hundred fifty-two thousand, eight hundred".