6620416482289 has 27 divisors (see below), whose sum is σ = 6858325459587. Its totient is φ = 6390633199104.

The previous prime is 6620416482221. The next prime is 6620416482311. The reversal of 6620416482289 is 9822846140266.

It is a happy number.

The square root of 6620416482289 is 2573017.

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 310232290225 + 6310184192064 = 556985^2 + 2512008^2 .

It is not a de Polignac number, because 6620416482289 - 2¹¹ = 6620416480241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6620416452289) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 18754720737 + ... + 18754721089.

Almost surely, 2^{6620416482289} is an apocalyptic number.

6620416482289 is the 2573017-th square number.

6620416482289 is the 1286509-th centered octagonal number.

It is an amenable number.

6620416482289 is a deficient number, since it is larger than the sum of its proper divisors (237908977298).

6620416482289 is an frugal number, since it uses more digits than its factorization.

6620416482289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 6620416482289 in words is "six trillion, six hundred twenty billion, four hundred sixteen million, four hundred eighty-two thousand, two hundred eighty-nine".