256742761046343 has 96 divisors (see below), whose sum is σ = 406848204311808. Its totient is φ = 143055355322880.

The previous prime is 256742761046323. The next prime is 256742761046347. The reversal of 256742761046343 is 343640167247652.

It is not a de Polignac number, because 256742761046343 - 2⁴¹ = 254543737790791 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256742761046347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1179542080 + ... + 1179759722.

It is an arithmetic number, because the mean of its divisors is an integer number (4238002128248).

Almost surely, 2^{256742761046343} is an apocalyptic number.

256742761046343 is a deficient number, since it is larger than the sum of its proper divisors (150105443265465).

256742761046343 is a wasteful number, since it uses less digits than its factorization.

256742761046343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218685 (or 218674 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 60.

The spelling of 256742761046343 in words is "two hundred fifty-six trillion, seven hundred forty-two billion, seven hundred sixty-one million, forty-six thousand, three hundred forty-three".