256911433800849 has 243 divisors, whose sum is σ = 415642332629979. Its totient is φ = 152888398801920.

The previous prime is 256911433800839. The next prime is 256911433800863. The reversal of 256911433800849 is 948008334119652.

The square root of 256911433800849 is 16028457.

It is a perfect power (a square), and thus also a powerful number.

256911433800849 is a `hidden beast` number, since 2 + 5 + 69 + 114 + 3 + 380 + 0 + 84 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 62246656019025 + 194664777781824 = 7889655^2 + 13952232^2 .

It is not a de Polignac number, because 256911433800849 - 2⁹ = 256911433800337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256911433800839) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1331147325297 + ... + 1331147325489.

Almost surely, 2^{256911433800849} is an apocalyptic number.

256911433800849 is the 16028457-th square number.

256911433800849 is the 8014229-th centered octagonal number.

It is an amenable number.

256911433800849 is a deficient number, since it is larger than the sum of its proper divisors (158730898829130).

256911433800849 is an equidigital number, since it uses as much as digits as its factorization.

256911433800849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 256911433800849 in words is "two hundred fifty-six trillion, nine hundred eleven billion, four hundred thirty-three million, eight hundred thousand, eight hundred forty-nine".