114333811200 has 960 divisors, whose sum is σ = 484189009920. Its totient is φ = 25885163520.

The previous prime is 114333811183. The next prime is 114333811201. The reversal of 114333811200 is 2118333411.

114333811200 is a `hidden beast` number, since 11 + 433 + 3 + 8 + 11 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114333811201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 404006259 + ... + 404006541.

It is an arithmetic number, because the mean of its divisors is an integer number (504363552).

Almost surely, 2^114333811200 is an apocalyptic number.

114333811200 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 114333811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242094504960).

114333811200 is an abundant number, since it is smaller than the sum of its proper divisors (369855198720).

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

114333811200 is a wasteful number, since it uses less digits than its factorization.

114333811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 114333811200 in words is "one hundred fourteen billion, three hundred thirty-three million, eight hundred eleven thousand, two hundred".