321223434031104 has 832 divisors, whose sum is σ = 966840322077696. Its totient is φ = 94795481088000.

The previous prime is 321223434031103. The next prime is 321223434031163. The reversal of 321223434031104 is 401130434322123.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321223434031103) 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 63 ways as a sum of consecutive naturals, for example, 464867487399 + ... + 464867488089.

Almost surely, 2^{321223434031104} 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 321223434031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483420161038848).

321223434031104 is an abundant number, since it is smaller than the sum of its proper divisors (645616888046592).

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

321223434031104 is an equidigital number, since it uses as much as digits as its factorization.

321223434031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 321223434031104 its reverse (401130434322123), we get a palindrome (722353868353227).

The spelling of 321223434031104 in words is "three hundred twenty-one trillion, two hundred twenty-three billion, four hundred thirty-four million, thirty-one thousand, one hundred four".