256477622706561 has 16 divisors (see below), whose sum is σ = 351176349173760. Its totient is φ = 166442957138640.

The previous prime is 256477622706553. The next prime is 256477622706587. The reversal of 256477622706561 is 165607226774652.

It is not a de Polignac number, because 256477622706561 - 2³ = 256477622706553 is a prime.

It is a super-2 number, since 2×256477622706561² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 256477622706492 and 256477622706501.

It is not an unprimeable number, because it can be changed into a prime (256477622706511) 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, 7620997695 + ... + 7621031348.

It is an arithmetic number, because the mean of its divisors is an integer number (21948521823360).

Almost surely, 2^{256477622706561} is an apocalyptic number.

It is an amenable number.

256477622706561 is a deficient number, since it is larger than the sum of its proper divisors (94698726467199).

256477622706561 is a wasteful number, since it uses less digits than its factorization.

256477622706561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15242029196.

The product of its (nonzero) digits is 355622400, while the sum is 66.

The spelling of 256477622706561 in words is "two hundred fifty-six trillion, four hundred seventy-seven billion, six hundred twenty-two million, seven hundred six thousand, five hundred sixty-one".