256231288380672 has 216 divisors, whose sum is σ = 808011461668320. Its totient is φ = 77446238269440.

The previous prime is 256231288380647. The next prime is 256231288380677. The reversal of 256231288380672 is 276083882132652.

256231288380672 is a `hidden beast` number, since 2 + 5 + 62 + 3 + 128 + 8 + 380 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256231288380677) 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 23 ways as a sum of consecutive naturals, for example, 3136218 + ... + 22853849.

It is an arithmetic number, because the mean of its divisors is an integer number (3740793804020).

Almost surely, 2^{256231288380672} is an apocalyptic number.

256231288380672 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 256231288380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404005730834160).

256231288380672 is an abundant number, since it is smaller than the sum of its proper divisors (551780173287648).

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

256231288380672 is a wasteful number, since it uses less digits than its factorization.

256231288380672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25990489 (or 25990472 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 256231288380672 in words is "two hundred fifty-six trillion, two hundred thirty-one billion, two hundred eighty-eight million, three hundred eighty thousand, six hundred seventy-two".