324002916006561 has 75 divisors (see below), whose sum is σ = 532433697889555. Its totient is φ = 196353523586880.

The previous prime is 324002916006551. The next prime is 324002916006577. The reversal of 324002916006561 is 165600619200423.

The square root of 324002916006561 is 18000081.

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

324002916006561 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 0 + 29 + 1 + 60 + 0 + 6 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 293398564312161 + 30604351694400 = 17128881^2 + 5532120^2 .

It is not a de Polignac number, because 324002916006561 - 2⁴¹ = 321803892751009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (324002916006551) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 19602079945 + ... + 19602096473.

Almost surely, 2^{324002916006561} is an apocalyptic number.

324002916006561 is the 18000081-st square number.

324002916006561 is the 9000041-st centered octagonal number.

It is an amenable number.

324002916006561 is a deficient number, since it is larger than the sum of its proper divisors (208430781882994).

324002916006561 is an frugal number, since it uses more digits than its factorization.

324002916006561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33114 (or 16543 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 324002916006561 in words is "three hundred twenty-four trillion, two billion, nine hundred sixteen million, six thousand, five hundred sixty-one".