114213888000 has 1008 divisors, whose sum is σ = 452720089224. Its totient is φ = 28665446400.

The previous prime is 114213887993. The next prime is 114213888059. The reversal of 114213888000 is 888312411.

It can be written as a sum of positive squares in 4 ways, for example, as 49689759744 + 64524128256 = 222912^2 + 254016^2 .

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 71 ways as a sum of consecutive naturals, for example, 6718463992 + ... + 6718464008.

Almost surely, 2^114213888000 is an apocalyptic number.

114213888000 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 114213888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226360044612).

114213888000 is an abundant number, since it is smaller than the sum of its proper divisors (338506201224).

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

114213888000 is an frugal number, since it uses more digits than its factorization.

114213888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 114213888000 in words is "one hundred fourteen billion, two hundred thirteen million, eight hundred eighty-eight thousand".