323079387332352 has 288 divisors, whose sum is σ = 998321441660928. Its totient is φ = 90849460236288.

The previous prime is 323079387332341. The next prime is 323079387332353. The reversal of 323079387332352 is 253233783970323.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323079387332353) 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 31 ways as a sum of consecutive naturals, for example, 115976173 + ... + 118729235.

It is an arithmetic number, because the mean of its divisors is an integer number (3466393894656).

Almost surely, 2^{323079387332352} is an apocalyptic number.

323079387332352 is a gapful number since it is divisible by the number (32) 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 323079387332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499160720830464).

323079387332352 is an abundant number, since it is smaller than the sum of its proper divisors (675242054328576).

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

323079387332352 is a wasteful number, since it uses less digits than its factorization.

323079387332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753435 (or 2753421 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 60.

The spelling of 323079387332352 in words is "three hundred twenty-three trillion, seventy-nine billion, three hundred eighty-seven million, three hundred thirty-two thousand, three hundred fifty-two".