255968672958441 has 45 divisors (see below), whose sum is σ = 383922081776629. Its totient is φ = 169957216106496.

The previous prime is 255968672958421. The next prime is 255968672958457. The reversal of 255968672958441 is 144859276869552.

The square root of 255968672958441 is 15999021.

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

255968672958441 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 6 + 8 + 6 + 7 + 29 + 584 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134294977822041 + 121673695136400 = 11588571^2 + 11030580^2 .

It is not a de Polignac number, because 255968672958441 - 2⁹ = 255968672957929 is a prime.

It is a super-2 number, since 2×255968672958441² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (255968672958421) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 37005732115 + ... + 37005739031.

Almost surely, 2^{255968672958441} is an apocalyptic number.

255968672958441 is the 15999021-st square number.

255968672958441 is the 7999511-st centered octagonal number.

It is an amenable number.

255968672958441 is a deficient number, since it is larger than the sum of its proper divisors (127953408818188).

255968672958441 is an frugal number, since it uses more digits than its factorization.

255968672958441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14360 (or 7177 counting only the distinct ones).

The product of its digits is 10450944000, while the sum is 81.

255968672958441 divided by its sum of digits (81) gives a square (3160107073561 = 1777669²).

The spelling of 255968672958441 in words is "two hundred fifty-five trillion, nine hundred sixty-eight billion, six hundred seventy-two million, nine hundred fifty-eight thousand, four hundred forty-one".