443969016100 has 81 divisors (see below), whose sum is σ = 1007469235507. Its totient is φ = 169807770880.

The previous prime is 443969016083. The next prime is 443969016121. The reversal of 443969016100 is 1610969344.

The square root of 443969016100 is 666310.

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

It can be written as a sum of positive squares in 4 ways, for example, as 134984229604 + 308984786496 = 367402^2 + 555864^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153249852 + ... + 153252748.

Almost surely, 2^443969016100 is an apocalyptic number.

443969016100 is the 666310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443969016100

443969016100 is an abundant number, since it is smaller than the sum of its proper divisors (563500219407).

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

443969016100 is an equidigital number, since it uses as much as digits as its factorization.

443969016100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The spelling of 443969016100 in words is "four hundred forty-three billion, nine hundred sixty-nine million, sixteen thousand, one hundred".