256584124438741 has 32 divisors (see below), whose sum is σ = 294955178993280. Its totient is φ = 220746734208000.

The previous prime is 256584124438679. The next prime is 256584124438769. The reversal of 256584124438741 is 147834421485652.

It is a de Polignac number, because none of the positive numbers 2^k-256584124438741 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256584124438441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3402889641 + ... + 3402965041.

It is an arithmetic number, because the mean of its divisors is an integer number (9217349343540).

Almost surely, 2^{256584124438741} is an apocalyptic number.

It is an amenable number.

256584124438741 is a deficient number, since it is larger than the sum of its proper divisors (38371054554539).

256584124438741 is a wasteful number, since it uses less digits than its factorization.

256584124438741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92517.

The product of its digits is 206438400, while the sum is 64.

The spelling of 256584124438741 in words is "two hundred fifty-six trillion, five hundred eighty-four billion, one hundred twenty-four million, four hundred thirty-eight thousand, seven hundred forty-one".