256234845312 has 224 divisors, whose sum is σ = 769253400000. Its totient is φ = 84976252416.

The previous prime is 256234845311. The next prime is 256234845343. The reversal of 256234845312 is 213548432652.

256234845312 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 34 + 84 + 531 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (256234845311) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 18562189 + ... + 18575987.

Almost surely, 2^256234845312 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 256234845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384626700000).

256234845312 is an abundant number, since it is smaller than the sum of its proper divisors (513018554688).

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

256234845312 is an equidigital number, since it uses as much as digits as its factorization.

256234845312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14030 (or 14003 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 256234845312 in words is "two hundred fifty-six billion, two hundred thirty-four million, eight hundred forty-five thousand, three hundred twelve".