6816648969 has 81 divisors (see below), whose sum is σ = 11195604927. Its totient is φ = 3994728192.

The previous prime is 6816648961. The next prime is 6816648991. The reversal of 6816648969 is 9698466186.

The square root of 6816648969 is 82563.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5323599369 + 1493049600 = 72963^2 + 38640^2 .

It is not a de Polignac number, because 6816648969 - 2³ = 6816648961 is a prime.

It is a super-2 number, since 2×6816648969² = 92933406333137525922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6816648961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 93378717 + ... + 93378789.

Almost surely, 2^6816648969 is an apocalyptic number.

6816648969 is the 82563-rd square number.

6816648969 is the 41282-nd centered octagonal number.

It is an amenable number.

6816648969 is a deficient number, since it is larger than the sum of its proper divisors (4378955958).

6816648969 is a wasteful number, since it uses less digits than its factorization.

6816648969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 118 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The cubic root of 6816648969 is about 1896.0813945522.

The spelling of 6816648969 in words is "six billion, eight hundred sixteen million, six hundred forty-eight thousand, nine hundred sixty-nine".