114809058000 has 2880 divisors, whose sum is σ = 577943009280. Its totient is φ = 20901888000.

The previous prime is 114809057971. The next prime is 114809058043. The reversal of 114809058000 is 850908411.

114809058000 is a `hidden beast` number, since 11 + 480 + 90 + 5 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×114809058000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3703517985 + ... + 3703518015.

It is an arithmetic number, because the mean of its divisors is an integer number (200674656).

Almost surely, 2^114809058000 is an apocalyptic number.

114809058000 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 114809058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288971504640).

114809058000 is an abundant number, since it is smaller than the sum of its proper divisors (463133951280).

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

114809058000 is a wasteful number, since it uses less digits than its factorization.

114809058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 114809058000 in words is "one hundred fourteen billion, eight hundred nine million, fifty-eight thousand".