114572185728 has 960 divisors, whose sum is σ = 425581699200. Its totient is φ = 27122135040.

The previous prime is 114572185711. The next prime is 114572185759. The reversal of 114572185728 is 827581275411.

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 119 ways as a sum of consecutive naturals, for example, 1450280793 + ... + 1450280871.

It is an arithmetic number, because the mean of its divisors is an integer number (443314270).

Almost surely, 2^114572185728 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 114572185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212790849600).

114572185728 is an abundant number, since it is smaller than the sum of its proper divisors (311009513472).

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

114572185728 is an equidigital number, since it uses as much as digits as its factorization.

114572185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 115 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 51.

The spelling of 114572185728 in words is "one hundred fourteen billion, five hundred seventy-two million, one hundred eighty-five thousand, seven hundred twenty-eight".