443132464231344 has 20 divisors (see below), whose sum is σ = 1144758865931096. Its totient is φ = 147710821410432.

The previous prime is 443132464231343. The next prime is 443132464231361.

443132464231344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 9231926338153 = 443132464231344 / (4 + 4 + 3 + 1 + 3 + 2 + 4 + 6 + 4 + 2 + 3 + 1 + 3 + 4 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 443132464231293 and 443132464231302.

It is not an unprimeable number, because it can be changed into a prime (443132464231343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4615963169029 + ... + 4615963169124.

Almost surely, 2^{443132464231344} is an apocalyptic number.

It is an amenable number.

443132464231344 is an abundant number, since it is smaller than the sum of its proper divisors (701626401699752).

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

443132464231344 is a wasteful number, since it uses less digits than its factorization.

443132464231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9231926338164 (or 9231926338158 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 48.

The spelling of 443132464231344 in words is "four hundred forty-three trillion, one hundred thirty-two billion, four hundred sixty-four million, two hundred thirty-one thousand, three hundred forty-four".