114439371264 has 200 divisors, whose sum is σ = 353353427460. Its totient is φ = 36830674944.

The previous prime is 114439371247. The next prime is 114439371331. The reversal of 114439371264 is 462173934411.

It is a happy number.

114439371264 is a `hidden beast` number, since 1 + 14 + 4 + 3 + 9 + 371 + 264 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 101001924864 + 13437446400 = 317808^2 + 115920^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1155112 + ... + 1250264.

Almost surely, 2^114439371264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114439371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176676713730).

114439371264 is an abundant number, since it is smaller than the sum of its proper divisors (238914056196).

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

114439371264 is an frugal number, since it uses more digits than its factorization.

114439371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95212 (or 95187 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 114439371264 in words is "one hundred fourteen billion, four hundred thirty-nine million, three hundred seventy-one thousand, two hundred sixty-four".