114653082752 has 96 divisors (see below), whose sum is σ = 247571824500. Its totient is φ = 52865519616.

The previous prime is 114653082707. The next prime is 114653082757. The reversal of 114653082752 is 257280356411.

114653082752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13957696 + 114639125056 = 3736^2 + 338584^2 .

It is not an unprimeable number, because it can be changed into a prime (114653082757) 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 11 ways as a sum of consecutive naturals, for example, 30910274 + ... + 30913982.

Almost surely, 2^114653082752 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 114653082752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123785912250).

114653082752 is an abundant number, since it is smaller than the sum of its proper divisors (132918741748).

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

114653082752 is a wasteful number, since it uses less digits than its factorization.

114653082752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 114653082752 in words is "one hundred fourteen billion, six hundred fifty-three million, eighty-two thousand, seven hundred fifty-two".