8192744116209 has 33 divisors (see below), whose sum is σ = 12290090191833. Its totient is φ = 5461365718692.

The previous prime is 8192744116169. The next prime is 8192744116261. The reversal of 8192744116209 is 9026114472918.

The square root of 8192744116209 is 2862297.

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

8192744116209 is a `hidden beast` number, since 8 + 1 + 9 + 2 + 7 + 4 + 4 + 1 + 1 + 620 + 9 = 666.

It is not a de Polignac number, because 8192744116209 - 2⁹ = 8192744115697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8192744116289) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 695532282 + ... + 695544060.

Almost surely, 2^{8192744116209} is an apocalyptic number.

8192744116209 is the 2862297-th square number.

8192744116209 is the 1431149-th centered octagonal number.

It is an amenable number.

8192744116209 is a deficient number, since it is larger than the sum of its proper divisors (4097346075624).

8192744116209 is an frugal number, since it uses more digits than its factorization.

8192744116209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23588 (or 11782 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 8192744116209 in words is "eight trillion, one hundred ninety-two billion, seven hundred forty-four million, one hundred sixteen thousand, two hundred nine".