256477633174351 has 8 divisors (see below), whose sum is σ = 258831191654640. Its totient is φ = 254124084742848.

The previous prime is 256477633174289. The next prime is 256477633174397. The reversal of 256477633174351 is 153471336774652.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 256477633174351 - 2³⁵ = 256443273435983 is a prime.

It is a super-2 number, since 2×256477633174351² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256477633174151) 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 7 ways as a sum of consecutive naturals, for example, 54724275 + ... + 59225851.

It is an arithmetic number, because the mean of its divisors is an integer number (32353898956830).

Almost surely, 2^{256477633174351} is an apocalyptic number.

256477633174351 is a deficient number, since it is larger than the sum of its proper divisors (2353558480289).

256477633174351 is a wasteful number, since it uses less digits than its factorization.

256477633174351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5024393.

The product of its digits is 266716800, while the sum is 64.

The spelling of 256477633174351 in words is "two hundred fifty-six trillion, four hundred seventy-seven billion, six hundred thirty-three million, one hundred seventy-four thousand, three hundred fifty-one".