256086318312 has 128 divisors (see below), whose sum is σ = 777010867200. Its totient is φ = 77502744000.

The previous prime is 256086318311. The next prime is 256086318353. The reversal of 256086318312 is 213813680652.

256086318312 is a `hidden beast` number, since 2 + 5 + 6 + 0 + 8 + 631 + 8 + 3 + 1 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (256086318311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1801437 + ... + 1938387.

It is an arithmetic number, because the mean of its divisors is an integer number (6070397400).

Almost surely, 2^256086318312 is an apocalyptic number.

256086318312 is a gapful number since it is divisible by the number (22) 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 256086318312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388505433600).

256086318312 is an abundant number, since it is smaller than the sum of its proper divisors (520924548888).

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

256086318312 is a wasteful number, since it uses less digits than its factorization.

256086318312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137764 (or 137754 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 256086318312 its reverse (213813680652), we get a palindrome (469899998964).

The spelling of 256086318312 in words is "two hundred fifty-six billion, eighty-six million, three hundred eighteen thousand, three hundred twelve".