114008880160 has 288 divisors, whose sum is σ = 318575881008. Its totient is φ = 38438830080.

The previous prime is 114008880157. The next prime is 114008880173. The reversal of 114008880160 is 61088800411.

It can be written as a sum of positive squares in 8 ways, for example, as 41015970576 + 72992909584 = 202524^2 + 270172^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 149814180 + ... + 149814940.

Almost surely, 2^114008880160 is an apocalyptic number.

114008880160 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 114008880160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159287940504).

114008880160 is an abundant number, since it is smaller than the sum of its proper divisors (204567000848).

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

114008880160 is a wasteful number, since it uses less digits than its factorization.

114008880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The spelling of 114008880160 in words is "one hundred fourteen billion, eight million, eight hundred eighty thousand, one hundred sixty".