322320332322 has 80 divisors (see below), whose sum is σ = 747321414840. Its totient is φ = 103710233088.

The previous prime is 322320332303. The next prime is 322320332329. The reversal of 322320332322 is 223233023223.

322320332322 is a `hidden beast` number, since 3 + 2 + 2 + 3 + 2 + 0 + 332 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 275036264721 + 47284067601 = 524439^2 + 217449^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (322320332329) 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 39 ways as a sum of consecutive naturals, for example, 38862408 + ... + 38870700.

Almost surely, 2^322320332322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322320332322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373660707420).

322320332322 is an abundant number, since it is smaller than the sum of its proper divisors (425001082518).

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

322320332322 is a wasteful number, since it uses less digits than its factorization.

322320332322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16609 (or 16600 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 322320332322 its reverse (223233023223), we get a palindrome (545553355545).

The spelling of 322320332322 in words is "three hundred twenty-two billion, three hundred twenty million, three hundred thirty-two thousand, three hundred twenty-two".