256481168873328 has 640 divisors, whose sum is σ = 919777267630080. Its totient is φ = 66731765760000.

The previous prime is 256481168873207. The next prime is 256481168873333. The reversal of 256481168873328 is 823378861184652.

It is a happy number.

256481168873328 is a `hidden beast` number, since 2 + 5 + 6 + 48 + 116 + 88 + 73 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10137182278 + ... + 10137207578.

It is an arithmetic number, because the mean of its divisors is an integer number (1437151980672).

Almost surely, 2^{256481168873328} is an apocalyptic number.

256481168873328 is a gapful number since it is divisible by the number (28) 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 256481168873328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459888633815040).

256481168873328 is an abundant number, since it is smaller than the sum of its proper divisors (663296098756752).

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

256481168873328 is a wasteful number, since it uses less digits than its factorization.

256481168873328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31734 (or 31722 counting only the distinct ones).

The product of its digits is 743178240, while the sum is 72.

The spelling of 256481168873328 in words is "two hundred fifty-six trillion, four hundred eighty-one billion, one hundred sixty-eight million, eight hundred seventy-three thousand, three hundred twenty-eight".