983609716441 has 27 divisors (see below), whose sum is σ = 1120084924413. Its totient is φ = 863078795040.

The previous prime is 983609716423. The next prime is 983609716451. The reversal of 983609716441 is 144617906389.

The square root of 983609716441 is 991771.

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 101137356441 + 882472360000 = 318021^2 + 939400^2 .

It is not a de Polignac number, because 983609716441 - 2¹¹ = 983609714393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (983609716451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 316373395 + ... + 316376503.

Almost surely, 2^983609716441 is an apocalyptic number.

983609716441 is the 991771-st square number.

983609716441 is the 495886-th centered octagonal number.

It is an amenable number.

983609716441 is a deficient number, since it is larger than the sum of its proper divisors (136475207972).

983609716441 is an frugal number, since it uses more digits than its factorization.

983609716441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6298 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 983609716441 in words is "nine hundred eighty-three billion, six hundred nine million, seven hundred sixteen thousand, four hundred forty-one".