8744328040561 has 9 divisors (see below), whose sum is σ = 8770216622241. Its totient is φ = 8718515680512.

The previous prime is 8744328040541. The next prime is 8744328040603. The reversal of 8744328040561 is 1650408234478.

The square root of 8744328040561 is 2957081.

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 1943707200561 + 6800620840000 = 1394169^2 + 2607800^2 .

It is not a de Polignac number, because 8744328040561 - 2¹⁹ = 8744327516273 is a prime.

It is a super-2 number, since 2×8744328040561² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8744328040499 and 8744328040508.

It is not an unprimeable number, because it can be changed into a prime (8744328040541) 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, 1043845405 + ... + 1043853781.

Almost surely, 2^{8744328040561} is an apocalyptic number.

8744328040561 is the 2957081-st square number.

8744328040561 is the 1478541-st centered octagonal number.

It is an amenable number.

8744328040561 is a deficient number, since it is larger than the sum of its proper divisors (25888581680).

8744328040561 is an frugal number, since it uses more digits than its factorization.

8744328040561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17460 (or 8730 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 8744328040561 in words is "eight trillion, seven hundred forty-four billion, three hundred twenty-eight million, forty thousand, five hundred sixty-one".