320848592589009 has 27 divisors (see below), whose sum is σ = 466155848643537. Its totient is φ = 212656489151616.

The previous prime is 320848592588989. The next prime is 320848592589047. The reversal of 320848592589009 is 900985295848023.

The square root of 320848592589009 is 17912247.

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

320848592589009 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 485 + 9 + 2 + 58 + 90 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 202865983068609 + 117982609520400 = 14243103^2 + 10861980^2 .

It is a de Polignac number, because none of the positive numbers 2^k-320848592589009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (320848592581009) 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, 9296438937 + ... + 9296473449.

Almost surely, 2^{320848592589009} is an apocalyptic number.

320848592589009 is the 17912247-th square number.

320848592589009 is the 8956124-th centered octagonal number.

It is an amenable number.

320848592589009 is a deficient number, since it is larger than the sum of its proper divisors (145307256054528).

320848592589009 is an frugal number, since it uses more digits than its factorization.

320848592589009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69378 (or 34689 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 320848592589009 in words is "three hundred twenty trillion, eight hundred forty-eight billion, five hundred ninety-two million, five hundred eighty-nine thousand, nine".