443311113344 has 128 divisors (see below), whose sum is σ = 975851919360. Its totient is φ = 198922240000.

The previous prime is 443311113281. The next prime is 443311113367.

443311113344 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 443311113344.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50195009 + ... + 50203839.

It is an arithmetic number, because the mean of its divisors is an integer number (7623843120).

Almost surely, 2^443311113344 is an apocalyptic number.

443311113344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443311113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487925959680).

443311113344 is an abundant number, since it is smaller than the sum of its proper divisors (532540806016).

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

443311113344 is a wasteful number, since it uses less digits than its factorization.

443311113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9310 (or 9298 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 443311 and 113344, that added together give a palindrome (556655).

The spelling of 443311113344 in words is "four hundred forty-three billion, three hundred eleven million, one hundred thirteen thousand, three hundred forty-four".