114165027264 has 112 divisors (see below), whose sum is σ = 307777022240. Its totient is φ = 37338071040.

The previous prime is 114165027257. The next prime is 114165027289. The reversal of 114165027264 is 462720561411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4778292 + ... + 4802124.

Almost surely, 2^114165027264 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 114165027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153888511120).

114165027264 is an abundant number, since it is smaller than the sum of its proper divisors (193611994976).

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

114165027264 is a wasteful number, since it uses less digits than its factorization.

114165027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24318 (or 24308 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

Adding to 114165027264 its reverse (462720561411), we get a palindrome (576885588675).

The spelling of 114165027264 in words is "one hundred fourteen billion, one hundred sixty-five million, twenty-seven thousand, two hundred sixty-four".