320332343233023 has 72 divisors (see below), whose sum is σ = 514349902946880. Its totient is φ = 191942547033600.

The previous prime is 320332343233009. The next prime is 320332343233061.

320332343233023 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 3 + 2 + 343 + 2 + 3 + 302 + 3 = 666.

320332343233023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320332343233023 - 2²⁰ = 320332342184447 is a prime.

It is a super-2 number, since 2×320332343233023² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320332343233823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1146726538 + ... + 1147005848.

It is an arithmetic number, because the mean of its divisors is an integer number (7143748652040).

Almost surely, 2^{320332343233023} is an apocalyptic number.

320332343233023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320332343233023 is a deficient number, since it is larger than the sum of its proper divisors (194017559713857).

320332343233023 is a wasteful number, since it uses less digits than its factorization.

320332343233023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291261 (or 291247 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 36.

The spelling of 320332343233023 in words is "three hundred twenty trillion, three hundred thirty-two billion, three hundred forty-three million, two hundred thirty-three thousand, twenty-three".