9409820056849 has 9 divisors (see below), whose sum is σ = 9723252596859. Its totient is φ = 9106185448080.

The previous prime is 9409820056837. The next prime is 9409820056913. The reversal of 9409820056849 is 9486500289049.

The square root of 9409820056849 is 3067543.

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

It can be written as a sum of positive squares in only one way, i.e., 4923184380625 + 4486635676224 = 2218825^2 + 2118168^2 .

It is not a de Polignac number, because 9409820056849 - 2¹⁵ = 9409820024081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9409820056829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95044357 + ... + 95143309.

It is an arithmetic number, because the mean of its divisors is an integer number (1080361399651).

Almost surely, 2^{9409820056849} is an apocalyptic number.

9409820056849 is the 3067543-rd square number.

9409820056849 is the 1533772-nd centered octagonal number.

It is an amenable number.

9409820056849 is a deficient number, since it is larger than the sum of its proper divisors (313432540010).

9409820056849 is an frugal number, since it uses more digits than its factorization.

9409820056849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197968 (or 98984 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

Multiplying 9409820056849 by its sum of digits (64), we get a square (602228483638336 = 24540344²).

The spelling of 9409820056849 in words is "nine trillion, four hundred nine billion, eight hundred twenty million, fifty-six thousand, eight hundred forty-nine".