322853220144 has 800 divisors, whose sum is σ = 1229765289984. Its totient is φ = 79432151040.

The previous prime is 322853220127. The next prime is 322853220187. The reversal of 322853220144 is 441022358223.

322853220144 is a `hidden beast` number, since 322 + 8 + 5 + 322 + 0 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 322853220099 and 322853220108.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 111212197 + ... + 111215099.

Almost surely, 2^322853220144 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 322853220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614882644992).

322853220144 is an abundant number, since it is smaller than the sum of its proper divisors (906912069840).

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

322853220144 is a wasteful number, since it uses less digits than its factorization.

322853220144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 322853220144 its reverse (441022358223), we get a palindrome (763875578367).

The spelling of 322853220144 in words is "three hundred twenty-two billion, eight hundred fifty-three million, two hundred twenty thousand, one hundred forty-four".