256018123218 has 192 divisors, whose sum is σ = 615021281280. Its totient is φ = 70568910720.

The previous prime is 256018123201. The next prime is 256018123219. The reversal of 256018123218 is 812321810652.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (256018123219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200169903 + ... + 200171181.

It is an arithmetic number, because the mean of its divisors is an integer number (3203235840).

Almost surely, 2^256018123218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256018123218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307510640640).

256018123218 is an abundant number, since it is smaller than the sum of its proper divisors (359003158062).

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

256018123218 is a wasteful number, since it uses less digits than its factorization.

256018123218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 256018123218 in words is "two hundred fifty-six billion, eighteen million, one hundred twenty-three thousand, two hundred eighteen".