443144343441344 has 112 divisors (see below), whose sum is σ = 895574558656800. Its totient is φ = 217534568595456.

The previous prime is 443144343441341. The next prime is 443144343441367.

443144343441344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443144343441292 and 443144343441301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443144343441341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332027702 + ... + 333359690.

Almost surely, 2^{443144343441344} 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 443144343441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447787279328400).

443144343441344 is an abundant number, since it is smaller than the sum of its proper divisors (452430215215456).

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

443144343441344 is a wasteful number, since it uses less digits than its factorization.

443144343441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332550 (or 1332540 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 50.

The spelling of 443144343441344 in words is "four hundred forty-three trillion, one hundred forty-four billion, three hundred forty-three million, four hundred forty-one thousand, three hundred forty-four".