10384203337209 has 81 divisors (see below), whose sum is σ = 16564818518157. Its totient is φ = 6265686053952.

The previous prime is 10384203337111. The next prime is 10384203337229. The reversal of 10384203337209 is 90273330248301.

The square root of 10384203337209 is 3222453.

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

10384203337209 is a `hidden beast` number, since 1 + 0 + 384 + 2 + 0 + 33 + 37 + 209 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 269513607609 + 10114689729600 = 519147^2 + 3180360^2 .

It is not a de Polignac number, because 10384203337209 - 2⁹ = 10384203336697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10384203337229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6660809572 + ... + 6660811130.

Almost surely, 2^{10384203337209} is an apocalyptic number.

10384203337209 is the 3222453-rd square number.

10384203337209 is the 1611227-th centered octagonal number.

It is an amenable number.

10384203337209 is a deficient number, since it is larger than the sum of its proper divisors (6180615180948).

10384203337209 is an frugal number, since it uses more digits than its factorization.

10384203337209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 10384203337209 in words is "ten trillion, three hundred eighty-four billion, two hundred three million, three hundred thirty-seven thousand, two hundred nine".