323321142144 has 384 divisors, whose sum is σ = 1173704273280. Its totient is φ = 77518909440.

The previous prime is 323321142143. The next prime is 323321142217. The reversal of 323321142144 is 441241123323.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323321142143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2630607 + ... + 2750769.

It is an arithmetic number, because the mean of its divisors is an integer number (3056521545).

Almost surely, 2^323321142144 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 323321142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586852136640).

323321142144 is an abundant number, since it is smaller than the sum of its proper divisors (850383131136).

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

323321142144 is a wasteful number, since it uses less digits than its factorization.

323321142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120218 (or 120199 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 323321142144 its reverse (441241123323), we get a palindrome (764562265467).

The spelling of 323321142144 in words is "three hundred twenty-three billion, three hundred twenty-one million, one hundred forty-two thousand, one hundred forty-four".