321321189904 has 135 divisors (see below), whose sum is σ = 741737426157. Its totient is φ = 134684035200.

The previous prime is 321321189901. The next prime is 321321189907. The reversal of 321321189904 is 409981123123.

The square root of 321321189904 is 566852.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (321321189901) and next prime (321321189907).

It can be written as a sum of positive squares in only one way, i.e., 47532720400 + 273788469504 = 218020^2 + 523248^2 .

It is not an unprimeable number, because it can be changed into a prime (321321189901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 324238849 + ... + 324239839.

Almost surely, 2^321321189904 is an apocalyptic number.

321321189904 is the 566852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321321189904

321321189904 is an abundant number, since it is smaller than the sum of its proper divisors (420416236253).

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

321321189904 is an equidigital number, since it uses as much as digits as its factorization.

321321189904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

It can be divided in two parts, 321321 and 189904, that added together give a square (511225 = 715²).

The spelling of 321321189904 in words is "three hundred twenty-one billion, three hundred twenty-one million, one hundred eighty-nine thousand, nine hundred four".