114856488000 has 896 divisors, whose sum is σ = 461033164800. Its totient is φ = 27869184000.

The previous prime is 114856487989. The next prime is 114856488001. The reversal of 114856488000 is 884658411.

114856488000 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 564 + 8 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (114856488001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113831496 + ... + 113832504.

Almost surely, 2^114856488000 is an apocalyptic number.

114856488000 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 114856488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230516582400).

114856488000 is an abundant number, since it is smaller than the sum of its proper divisors (346176676800).

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

114856488000 is a wasteful number, since it uses less digits than its factorization.

114856488000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 114856488000 in words is "one hundred fourteen billion, eight hundred fifty-six million, four hundred eighty-eight thousand".