256724640304344 has 64 divisors (see below), whose sum is σ = 713151441129600. Its totient is φ = 85571587267488.

The previous prime is 256724640304343. The next prime is 256724640304361. The reversal of 256724640304344 is 443403046427652.

256724640304344 is a `hidden beast` number, since 2 + 5 + 6 + 72 + 464 + 0 + 30 + 43 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256724640304343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17237254 + ... + 28470549.

It is an arithmetic number, because the mean of its divisors is an integer number (11142991267650).

Almost surely, 2^{256724640304344} is an apocalyptic number.

256724640304344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256724640304344 is an abundant number, since it is smaller than the sum of its proper divisors (456426800825256).

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

256724640304344 is a wasteful number, since it uses less digits than its factorization.

256724640304344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45733821 (or 45733811 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 54.

The spelling of 256724640304344 in words is "two hundred fifty-six trillion, seven hundred twenty-four billion, six hundred forty million, three hundred four thousand, three hundred forty-four".