114633738208 has 96 divisors (see below), whose sum is σ = 250226081280. Its totient is φ = 51259944960.

The previous prime is 114633738187. The next prime is 114633738223. The reversal of 114633738208 is 802837336411.

It is a happy number.

114633738208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6974416 + ... + 6990832.

It is an arithmetic number, because the mean of its divisors is an integer number (2606521680).

Almost surely, 2^114633738208 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 114633738208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125113040640).

114633738208 is an abundant number, since it is smaller than the sum of its proper divisors (135592343072).

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

114633738208 is a wasteful number, since it uses less digits than its factorization.

114633738208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16760 (or 16752 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 114633738208 in words is "one hundred fourteen billion, six hundred thirty-three million, seven hundred thirty-eight thousand, two hundred eight".