80444842384 has 135 divisors (see below), whose sum is σ = 171275079267. Its totient is φ = 36594819072.

The previous prime is 80444842339. The next prime is 80444842409. The reversal of 80444842384 is 48324844408.

The square root of 80444842384 is 283628.

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 4709802384 + 75735040000 = 68628^2 + 275200^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 829328224 + ... + 829328320.

Almost surely, 2^80444842384 is an apocalyptic number.

80444842384 is the 283628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80444842384

80444842384 is an abundant number, since it is smaller than the sum of its proper divisors (90830236883).

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

80444842384 is an equidigital number, since it uses as much as digits as its factorization.

80444842384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 49.

Multiplying 80444842384 by its sum of digits (49), we get a square (3941797276816 = 1985396²).

The spelling of 80444842384 in words is "eighty billion, four hundred forty-four million, eight hundred forty-two thousand, three hundred eighty-four".