322003320144 has 120 divisors (see below), whose sum is σ = 914707142496. Its totient is φ = 97537440000.

The previous prime is 322003320143. The next prime is 322003320161. The reversal of 322003320144 is 441023300223.

322003320144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×322003320144² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322003320143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16502394 + ... + 16521894.

Almost surely, 2^322003320144 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 322003320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457353571248).

322003320144 is an abundant number, since it is smaller than the sum of its proper divisors (592703822352).

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

322003320144 is a wasteful number, since it uses less digits than its factorization.

322003320144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22377 (or 22360 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 322003320144 its reverse (441023300223), we get a palindrome (763026620367).

The spelling of 322003320144 in words is "three hundred twenty-two billion, three million, three hundred twenty thousand, one hundred forty-four".