443461164344 has 16 divisors (see below), whose sum is σ = 907079654520. Its totient is φ = 201573256480.

The previous prime is 443461164299. The next prime is 443461164373.

It is a happy number.

443461164344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 443461164295 and 443461164304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2519665619 + ... + 2519665794.

Almost surely, 2^443461164344 is an apocalyptic number.

443461164344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443461164344 is an abundant number, since it is smaller than the sum of its proper divisors (463618490176).

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

443461164344 is a wasteful number, since it uses less digits than its factorization.

443461164344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039331430 (or 5039331426 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 44.

The spelling of 443461164344 in words is "four hundred forty-three billion, four hundred sixty-one million, one hundred sixty-four thousand, three hundred forty-four".