114593609728 has 192 divisors, whose sum is σ = 252431786880. Its totient is φ = 51687161856.

The previous prime is 114593609717. The next prime is 114593609747. The reversal of 114593609728 is 827906395411.

It is a happy number.

114593609728 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404924275 + ... + 404924557.

It is an arithmetic number, because the mean of its divisors is an integer number (1314748890).

It is a 1-persistent number, because it is pandigital, but 2⋅114593609728 = 229187219456 is not.

Almost surely, 2^114593609728 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 114593609728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126215893440).

114593609728 is an abundant number, since it is smaller than the sum of its proper divisors (137838177152).

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

114593609728 is a wasteful number, since it uses less digits than its factorization.

114593609728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 114593609728 in words is "one hundred fourteen billion, five hundred ninety-three million, six hundred nine thousand, seven hundred twenty-eight".