443113141311344 has 160 divisors (see below), whose sum is σ = 1001728765255680. Its totient is φ = 185953743763200.

The previous prime is 443113141311331. The next prime is 443113141311367.

443113141311344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443113141311298 and 443113141311307.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 26643797909 + ... + 26643814539.

It is an arithmetic number, because the mean of its divisors is an integer number (6260804782848).

Almost surely, 2^{443113141311344} 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 443113141311344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500864382627840).

443113141311344 is an abundant number, since it is smaller than the sum of its proper divisors (558615623944336).

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

443113141311344 is a wasteful number, since it uses less digits than its factorization.

443113141311344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32299 (or 32293 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The spelling of 443113141311344 in words is "four hundred forty-three trillion, one hundred thirteen billion, one hundred forty-one million, three hundred eleven thousand, three hundred forty-four".