323266413875328 has 4608 divisors, whose sum is σ = 1322212078387200. Its totient is φ = 73873542758400.

The previous prime is 323266413875263. The next prime is 323266413875329. The reversal of 323266413875328 is 823578314662323.

323266413875328 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 6 + 6 + 4 + 13 + 87 + 532 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (323266413875329) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2545404833601 + ... + 2545404833727.

Almost surely, 2^{323266413875328} is an apocalyptic number.

323266413875328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323266413875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661106039193600).

323266413875328 is an abundant number, since it is smaller than the sum of its proper divisors (998945664511872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323266413875328 is a wasteful number, since it uses less digits than its factorization.

323266413875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 346 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 323266413875328 in words is "three hundred twenty-three trillion, two hundred sixty-six billion, four hundred thirteen million, eight hundred seventy-five thousand, three hundred twenty-eight".