256734141242771 has 24 divisors (see below), whose sum is σ = 274077149877216. Its totient is φ = 240381906336000.

The previous prime is 256734141242767. The next prime is 256734141242801. The reversal of 256734141242771 is 177242141437652.

It is a happy number.

It is not a de Polignac number, because 256734141242771 - 2² = 256734141242767 is a prime.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256734141242671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566146 + ... + 22713896.

It is an arithmetic number, because the mean of its divisors is an integer number (11419881244884).

Almost surely, 2^{256734141242771} is an apocalyptic number.

256734141242771 is a deficient number, since it is larger than the sum of its proper divisors (17343008634445).

256734141242771 is a wasteful number, since it uses less digits than its factorization.

256734141242771 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21148283 (or 21148260 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 56.

The spelling of 256734141242771 in words is "two hundred fifty-six trillion, seven hundred thirty-four billion, one hundred forty-one million, two hundred forty-two thousand, seven hundred seventy-one".