114307891200 has 960 divisors, whose sum is σ = 468083880000. Its totient is φ = 27179089920.

The previous prime is 114307891189. The next prime is 114307891223. The reversal of 114307891200 is 2198703411.

It is a happy number.

114307891200 is a `hidden beast` number, since 11 + 430 + 7 + 8 + 9 + 1 + 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6016204791 + ... + 6016204809.

It is an arithmetic number, because the mean of its divisors is an integer number (487587375).

Almost surely, 2^114307891200 is an apocalyptic number.

114307891200 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 114307891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234041940000).

114307891200 is an abundant number, since it is smaller than the sum of its proper divisors (353775988800).

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

114307891200 is an frugal number, since it uses more digits than its factorization.

114307891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 114307891200 in words is "one hundred fourteen billion, three hundred seven million, eight hundred ninety-one thousand, two hundred".