321489000000 has 1323 divisors, whose sum is σ = 1391368889469. Its totient is φ = 73483200000.

The previous prime is 321488999971. The next prime is 321489000011. The reversal of 321489000000 is 984123.

The square root of 321489000000 is 567000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 281655226944 + 39833773056 = 530712^2 + 199584^2 .

It is a tau number, because it is divible by the number of its divisors (1323).

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 45926999997 + ... + 45927000003.

Almost surely, 2^321489000000 is an apocalyptic number.

321489000000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

321489000000 is the 567000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321489000000

321489000000 is an abundant number, since it is smaller than the sum of its proper divisors (1069879889469).

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

321489000000 is an frugal number, since it uses more digits than its factorization.

321489000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 321489000000 its reverse (984123), we get a palindrome (321489984123).

The spelling of 321489000000 in words is "three hundred twenty-one billion, four hundred eighty-nine million", and thus it is an aban number.