114335238528 has 256 divisors, whose sum is σ = 398955456000. Its totient is φ = 31540561920.

The previous prime is 114335238491. The next prime is 114335238533. The reversal of 114335238528 is 825832533411.

114335238528 is a `hidden beast` number, since 1 + 1 + 43 + 3 + 52 + 38 + 528 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 620083 + ... + 783053.

It is an arithmetic number, because the mean of its divisors is an integer number (1558419750).

Almost surely, 2^114335238528 is an apocalyptic number.

114335238528 is a gapful number since it is divisible by the number (18) 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 114335238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199477728000).

114335238528 is an abundant number, since it is smaller than the sum of its proper divisors (284620217472).

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

114335238528 is a wasteful number, since it uses less digits than its factorization.

114335238528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163030 (or 163012 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 114335238528 in words is "one hundred fourteen billion, three hundred thirty-five million, two hundred thirty-eight thousand, five hundred twenty-eight".