324007993089 has 81 divisors (see below), whose sum is σ = 527040089121. Its totient is φ = 191666748240.

The previous prime is 324007993063. The next prime is 324007993123. The reversal of 324007993089 is 980399700423.

The square root of 324007993089 is 569217.

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

324007993089 is a `hidden beast` number, since 3 + 2 + 400 + 79 + 93 + 0 + 89 = 666.

It is not a de Polignac number, because 324007993089 - 2¹³ = 324007984897 is a prime.

It is a super-2 number, since 2×324007993089² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (324007993889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 882855384 + ... + 882855750.

Almost surely, 2^324007993089 is an apocalyptic number.

324007993089 is the 569217-th square number.

324007993089 is the 284609-th centered octagonal number.

It is an amenable number.

324007993089 is a deficient number, since it is larger than the sum of its proper divisors (203032096032).

324007993089 is an equidigital number, since it uses as much as digits as its factorization.

324007993089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 324007993089 in words is "three hundred twenty-four billion, seven million, nine hundred ninety-three thousand, eighty-nine".