114979300560 has 120 divisors (see below), whose sum is σ = 386913852000. Its totient is φ = 30599606016.

The previous prime is 114979300507. The next prime is 114979300561. The reversal of 114979300560 is 65003979411.

114979300560 is a `hidden beast` number, since 1 + 14 + 9 + 79 + 3 + 0 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114979300561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199267 + ... + 519293.

It is an arithmetic number, because the mean of its divisors is an integer number (3224282100).

Almost surely, 2^114979300560 is an apocalyptic number.

114979300560 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 114979300560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193456926000).

114979300560 is an abundant number, since it is smaller than the sum of its proper divisors (271934551440).

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

114979300560 is a wasteful number, since it uses less digits than its factorization.

114979300560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320545 (or 320536 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 114979300560 in words is "one hundred fourteen billion, nine hundred seventy-nine million, three hundred thousand, five hundred sixty".