844805471689 has 9 divisors (see below), whose sum is σ = 851143811637. Its totient is φ = 838514006304.

The previous prime is 844805471683. The next prime is 844805471707. The reversal of 844805471689 is 986174508448.

The square root of 844805471689 is 919133.

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

844805471689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 52897700025 + 791907771664 = 229995^2 + 889892^2 .

It is not a de Polignac number, because 844805471689 - 2²¹ = 844803374537 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 844805471689.

It is not an unprimeable number, because it can be changed into a prime (844805471683) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 125917867 + ... + 125924575.

Almost surely, 2^844805471689 is an apocalyptic number.

844805471689 is the 919133-rd square number.

844805471689 is the 459567-th centered octagonal number.

It is an amenable number.

844805471689 is a deficient number, since it is larger than the sum of its proper divisors (6338339948).

844805471689 is an frugal number, since it uses more digits than its factorization.

844805471689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13692 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 64.

Multiplying 844805471689 by its sum of digits (64), we get a square (54067550188096 = 7353064²).

The spelling of 844805471689 in words is "eight hundred forty-four billion, eight hundred five million, four hundred seventy-one thousand, six hundred eighty-nine".