320523141325023 has 96 divisors (see below), whose sum is σ = 585242491631616. Its totient is φ = 164491286471424.

The previous prime is 320523141325019. The next prime is 320523141325073.

320523141325023 is a `hidden beast` number, since 3 + 2 + 0 + 5 + 2 + 3 + 14 + 132 + 502 + 3 = 666.

320523141325023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320523141325023 - 2² = 320523141325019 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320523141325073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 822319486 + ... + 822709172.

It is an arithmetic number, because the mean of its divisors is an integer number (6096275954496).

Almost surely, 2^{320523141325023} is an apocalyptic number.

320523141325023 is a deficient number, since it is larger than the sum of its proper divisors (264719350306593).

320523141325023 is a wasteful number, since it uses less digits than its factorization.

320523141325023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416893 (or 416890 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 320523141325023 in words is "three hundred twenty trillion, five hundred twenty-three billion, one hundred forty-one million, three hundred twenty-five thousand, twenty-three".