323145541323 has 96 divisors (see below), whose sum is σ = 534055084992. Its totient is φ = 186549350400.

The previous prime is 323145541297. The next prime is 323145541339.

323145541323 is a `hidden beast` number, since 3 + 231 + 4 + 5 + 5 + 413 + 2 + 3 = 666.

323145541323 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 323145541323 - 2⁵ = 323145541291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (323145545323) 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 95 ways as a sum of consecutive naturals, for example, 36629253 + ... + 36638073.

It is an arithmetic number, because the mean of its divisors is an integer number (5563073802).

Almost surely, 2^323145541323 is an apocalyptic number.

323145541323 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

323145541323 is a deficient number, since it is larger than the sum of its proper divisors (210909543669).

323145541323 is a wasteful number, since it uses less digits than its factorization.

323145541323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085 (or 9082 counting only the distinct ones).

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

It can be divided in two parts, 323145 and 541323, that added together give a palindrome (864468).

The spelling of 323145541323 in words is "three hundred twenty-three billion, one hundred forty-five million, five hundred forty-one thousand, three hundred twenty-three".