114232003200 has 576 divisors, whose sum is σ = 493252269120. Its totient is φ = 24573542400.

The previous prime is 114232003181. The next prime is 114232003211. The reversal of 114232003200 is 2300232411.

114232003200 is a `hidden beast` number, since 1 + 142 + 3 + 200 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3410535 + ... + 3443865.

It is an arithmetic number, because the mean of its divisors is an integer number (856340745).

Almost surely, 2^114232003200 is an apocalyptic number.

114232003200 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 114232003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246626134560).

114232003200 is an abundant number, since it is smaller than the sum of its proper divisors (379020265920).

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

114232003200 is a wasteful number, since it uses less digits than its factorization.

114232003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33385 (or 33365 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 114232003200 its reverse (2300232411), we get a palindrome (116532235611).

The spelling of 114232003200 in words is "one hundred fourteen billion, two hundred thirty-two million, three thousand, two hundred".