7844441428849 has 9 divisors (see below), whose sum is σ = 7857214182849. Its totient is φ = 7831689418320.

The previous prime is 7844441428799. The next prime is 7844441428867. The reversal of 7844441428849 is 9488241444487.

The square root of 7844441428849 is 2800793.

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 6217367706225 + 1627073722624 = 2493465^2 + 1275568^2 .

It is not a de Polignac number, because 7844441428849 - 2³³ = 7835851494257 is a prime.

It is a super-2 number, since 2×7844441428849² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7844441428349) 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, 2052979359 + ... + 2052983179.

Almost surely, 2^{7844441428849} is an apocalyptic number.

7844441428849 is the 2800793-rd square number.

7844441428849 is the 1400397-th centered octagonal number.

It is an amenable number.

7844441428849 is a deficient number, since it is larger than the sum of its proper divisors (12772754000).

7844441428849 is an frugal number, since it uses more digits than its factorization.

7844441428849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9108 (or 4554 counting only the distinct ones).

The product of its digits is 264241152, while the sum is 67.

The spelling of 7844441428849 in words is "seven trillion, eight hundred forty-four billion, four hundred forty-one million, four hundred twenty-eight thousand, eight hundred forty-nine".