323133136193268 has 192 divisors, whose sum is σ = 850470963793920. Its totient is φ = 106080223601664.

The previous prime is 323133136193249. The next prime is 323133136193269. The reversal of 323133136193268 is 862391631331323.

323133136193268 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 3 + 3 + 13 + 619 + 3 + 2 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323133136193269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30236088621 + ... + 30236099307.

It is an arithmetic number, because the mean of its divisors is an integer number (4429536269760).

Almost surely, 2^{323133136193268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323133136193268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425235481896960).

323133136193268 is an abundant number, since it is smaller than the sum of its proper divisors (527337827600652).

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

323133136193268 is a wasteful number, since it uses less digits than its factorization.

323133136193268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16023 (or 16015 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The spelling of 323133136193268 in words is "three hundred twenty-three trillion, one hundred thirty-three billion, one hundred thirty-six million, one hundred ninety-three thousand, two hundred sixty-eight".