256188114 has 144 divisors (see below), whose sum is σ = 702965952. Its totient is φ = 65999232.

The previous prime is 256188091. The next prime is 256188133. The reversal of 256188114 is 411881652.

256188114 is a `hidden beast` number, since 2 + 561 + 8 + 81 + 14 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1128469 + ... + 1128695.

It is an arithmetic number, because the mean of its divisors is an integer number (4881708).

Almost surely, 2^256188114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256188114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351482976).

256188114 is an abundant number, since it is smaller than the sum of its proper divisors (446777838).

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

256188114 is a wasteful number, since it uses less digits than its factorization.

256188114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 256188114 is about 16005.8774829748. The cubic root of 256188114 is about 635.1159099796.

The spelling of 256188114 in words is "two hundred fifty-six million, one hundred eighty-eight thousand, one hundred fourteen".