1232346432321 has 81 divisors (see below), whose sum is σ = 1868508343611. Its totient is φ = 782654897664.

The previous prime is 1232346432299. The next prime is 1232346432349.

The square root of 1232346432321 is 1110111.

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

1232346432321 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 3 + 4 + 643 + 2 + 3 + 2 + 1 = 666.

1232346432321 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 13 ways, for example, as 37181480625 + 1195164951696 = 192825^2 + 1093236^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1232346432321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1232346442321) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 8995229365 + ... + 8995229501.

Almost surely, 2^{1232346432321} is an apocalyptic number.

1232346432321 is the 1110111-st square number.

1232346432321 is the 555056-th centered octagonal number.

It is an amenable number.

1232346432321 is a deficient number, since it is larger than the sum of its proper divisors (636161911290).

1232346432321 is an frugal number, since it uses more digits than its factorization.

1232346432321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 250 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Multiplying 1232346432321 by its sum of digits (36), we get a square (44364471563556 = 6660666²).

The spelling of 1232346432321 in words is "one trillion, two hundred thirty-two billion, three hundred forty-six million, four hundred thirty-two thousand, three hundred twenty-one".