6849709668025 has 243 divisors, whose sum is σ = 10622159538669. Its totient is φ = 4368747519360.

The previous prime is 6849709668017. The next prime is 6849709668031. The reversal of 6849709668025 is 5208669079486.

The square root of 6849709668025 is 2617195.

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 650247091641 + 6199462576384 = 806379^2 + 2489872^2 .

It is not a de Polignac number, because 6849709668025 - 2³ = 6849709668017 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 145738503552 + ... + 145738503598.

Almost surely, 2^{6849709668025} is an apocalyptic number.

6849709668025 is the 2617195-th square number.

6849709668025 is the 1308598-th centered octagonal number.

It is an amenable number.

6849709668025 is a deficient number, since it is larger than the sum of its proper divisors (3772449870644).

6849709668025 is an equidigital number, since it uses as much as digits as its factorization.

6849709668025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 70.

The spelling of 6849709668025 in words is "six trillion, eight hundred forty-nine billion, seven hundred nine million, six hundred sixty-eight thousand, twenty-five".