9985783280841 has 27 divisors (see below), whose sum is σ = 14452764103687. Its totient is φ = 6643897771920.

The previous prime is 9985783280821. The next prime is 9985783280849. The reversal of 9985783280841 is 1480823875899.

The square root of 9985783280841 is 3160029.

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

9985783280841 is a `hidden beast` number, since 9 + 9 + 8 + 578 + 3 + 2 + 8 + 0 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2726530790841 + 7259252490000 = 1651221^2 + 2694300^2 .

It is not a de Polignac number, because 9985783280841 - 2⁷ = 9985783280713 is a prime.

It is a super-4 number, since 4×9985783280841⁴ (a number of 53 digits) contains 4444 as substring.

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 9985783280841.

It is not an unprimeable number, because it can be changed into a prime (9985783280849) 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, 7783150786 + ... + 7783152068.

Almost surely, 2^{9985783280841} is an apocalyptic number.

9985783280841 is the 3160029-th square number.

9985783280841 is the 1580015-th centered octagonal number.

It is an amenable number.

9985783280841 is a deficient number, since it is larger than the sum of its proper divisors (4466980822846).

9985783280841 is an frugal number, since it uses more digits than its factorization.

9985783280841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 9985783280841 in words is "nine trillion, nine hundred eighty-five billion, seven hundred eighty-three million, two hundred eighty thousand, eight hundred forty-one".