268648365969 has 27 divisors (see below), whose sum is σ = 412257261403. Its totient is φ = 168547094592.

The previous prime is 268648365961. The next prime is 268648365991. The reversal of 268648365969 is 969563846862.

The square root of 268648365969 is 518313.

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

268648365969 is a `hidden beast` number, since 2 + 6 + 86 + 483 + 6 + 5 + 9 + 69 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209155302225 + 59493063744 = 457335^2 + 243912^2 .

It is not a de Polignac number, because 268648365969 - 2³ = 268648365961 is a prime.

It is a super-2 number, since 2×268648365969² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 268648365897 and 268648365906.

It is not an unprimeable number, because it can be changed into a prime (268648365961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26428882 + ... + 26439044.

Almost surely, 2^268648365969 is an apocalyptic number.

268648365969 is the 518313-rd square number.

268648365969 is the 259157-th centered octagonal number.

It is an amenable number.

268648365969 is a deficient number, since it is larger than the sum of its proper divisors (143608895434).

268648365969 is an frugal number, since it uses more digits than its factorization.

268648365969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20366 (or 10183 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 268648365969 in words is "two hundred sixty-eight billion, six hundred forty-eight million, three hundred sixty-five thousand, nine hundred sixty-nine".