323135825376 has 1152 divisors, whose sum is σ = 1224014561280. Its totient is φ = 72494383104.

The previous prime is 323135825371. The next prime is 323135825377. The reversal of 323135825376 is 673528531323.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323135825371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 843696481 + ... + 843696863.

It is an arithmetic number, because the mean of its divisors is an integer number (1062512640).

Almost surely, 2^323135825376 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 323135825376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612007280640).

323135825376 is an abundant number, since it is smaller than the sum of its proper divisors (900878735904).

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

323135825376 is a wasteful number, since it uses less digits than its factorization.

323135825376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 467 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 48.

The spelling of 323135825376 in words is "three hundred twenty-three billion, one hundred thirty-five million, eight hundred twenty-five thousand, three hundred seventy-six".