256477073372321 has 16 divisors (see below), whose sum is σ = 257364217036800. Its totient is φ = 255591153147408.

The previous prime is 256477073372309. The next prime is 256477073372327. The reversal of 256477073372321 is 123273370774652.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 256477073372321 - 2¹⁸ = 256477073110177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256477073372327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2254508240 + ... + 2254621998.

It is an arithmetic number, because the mean of its divisors is an integer number (16085263564800).

Almost surely, 2^{256477073372321} is an apocalyptic number.

It is an amenable number.

256477073372321 is a deficient number, since it is larger than the sum of its proper divisors (887143664479).

256477073372321 is a wasteful number, since it uses less digits than its factorization.

256477073372321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119068.

The product of its (nonzero) digits is 62233920, while the sum is 59.

The spelling of 256477073372321 in words is "two hundred fifty-six trillion, four hundred seventy-seven billion, seventy-three million, three hundred seventy-two thousand, three hundred twenty-one".