8444261681 has 2 divisors, whose sum is σ = 8444261682. Its totient is φ = 8444261680.

The previous prime is 8444261633. The next prime is 8444261687. The reversal of 8444261681 is 1861624448.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5143184656 + 3301077025 = 71716^2 + 57455^2 .

It is a cyclic number.

It is not a de Polignac number, because 8444261681 - 2¹⁸ = 8443999537 is a prime.

It is a super-2 number, since 2×8444261681² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (8444261687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4222130840 + 4222130841.

It is an arithmetic number, because the mean of its divisors is an integer number (4222130841).

Almost surely, 2^8444261681 is an apocalyptic number.

It is an amenable number.

8444261681 is a deficient number, since it is larger than the sum of its proper divisors (1).

8444261681 is an equidigital number, since it uses as much as digits as its factorization.

8444261681 is an evil number, because the sum of its binary digits is even.

The product of its digits is 294912, while the sum is 44.

The square root of 8444261681 is about 91892.6639128500. The cubic root of 8444261681 is about 2036.3568902337.

The spelling of 8444261681 in words is "eight billion, four hundred forty-four million, two hundred sixty-one thousand, six hundred eighty-one".