606243721148289 has 81 divisors (see below), whose sum is σ = 1044142138968201. Its totient is φ = 337963775103360.

The previous prime is 606243721148209. The next prime is 606243721148311. The reversal of 606243721148289 is 982841127342606.

The square root of 606243721148289 is 24622017.

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

606243721148289 is a `hidden beast` number, since 6 + 0 + 6 + 2 + 4 + 3 + 72 + 1 + 1 + 482 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13599168167025 + 592644552981264 = 3687705^2 + 24344292^2 .

It is not a de Polignac number, because 606243721148289 - 2⁷ = 606243721148161 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (606243721148209) 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 80 ways as a sum of consecutive naturals, for example, 21199542339 + ... + 21199570935.

Almost surely, 2^{606243721148289} is an apocalyptic number.

606243721148289 is the 24622017-th square number.

606243721148289 is the 12311009-th centered octagonal number.

It is an amenable number.

606243721148289 is a deficient number, since it is larger than the sum of its proper divisors (437898417819912).

606243721148289 is an frugal number, since it uses more digits than its factorization.

606243721148289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57296 (or 28648 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 606243721148289 in words is "six hundred six trillion, two hundred forty-three billion, seven hundred twenty-one million, one hundred forty-eight thousand, two hundred eighty-nine".