6982240766449 has 81 divisors (see below), whose sum is σ = 8066173459617. Its totient is φ = 6040890902592.

The previous prime is 6982240766443. The next prime is 6982240766467. The reversal of 6982240766449 is 9446670422896.

The square root of 6982240766449 is 2642393.

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

It can be written as a sum of positive squares in 4 ways, for example, as 895322826225 + 6086917940224 = 946215^2 + 2467168^2 .

It is not a de Polignac number, because 6982240766449 - 2⁹ = 6982240765937 is a prime.

It is a super-2 number, since 2×6982240766449² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6982240766443) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42835832842 + ... + 42835833004.

Almost surely, 2^{6982240766449} is an apocalyptic number.

6982240766449 is the 2642393-rd square number.

6982240766449 is the 1321197-th centered octagonal number.

It is an amenable number.

6982240766449 is a deficient number, since it is larger than the sum of its proper divisors (1083932693168).

6982240766449 is an equidigital number, since it uses as much as digits as its factorization.

6982240766449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 67.

The spelling of 6982240766449 in words is "six trillion, nine hundred eighty-two billion, two hundred forty million, seven hundred sixty-six thousand, four hundred forty-nine".