114261840000 has 1600 divisors, whose sum is σ = 532078430400. Its totient is φ = 23639040000.

The previous prime is 114261839947. The next prime is 114261840023. The reversal of 114261840000 is 48162411.

It is a happy number.

114261840000 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 618 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 498959886 + ... + 498960114.

It is an arithmetic number, because the mean of its divisors is an integer number (332549019).

Almost surely, 2^114261840000 is an apocalyptic number.

114261840000 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 114261840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266039215200).

114261840000 is an abundant number, since it is smaller than the sum of its proper divisors (417816590400).

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

114261840000 is an equidigital number, since it uses as much as digits as its factorization.

114261840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 114261840000 in words is "one hundred fourteen billion, two hundred sixty-one million, eight hundred forty thousand".