16839820213225 has 27 divisors (see below), whose sum is σ = 20996162273541. Its totient is φ = 13398204129600.

The previous prime is 16839820213219. The next prime is 16839820213291. The reversal of 16839820213225 is 52231202893861.

The square root of 16839820213225 is 4103635.

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 189144098649 + 16650676114576 = 434907^2 + 4080524^2 .

It is not a de Polignac number, because 16839820213225 - 2¹⁷ = 16839820082153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 3918969277 + ... + 3918973573.

Almost surely, 2^{16839820213225} is an apocalyptic number.

16839820213225 is the 4103635-th square number.

16839820213225 is the 2051818-th centered octagonal number.

It is an amenable number.

16839820213225 is a deficient number, since it is larger than the sum of its proper divisors (4156342060316).

16839820213225 is an frugal number, since it uses more digits than its factorization.

16839820213225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8986 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 16839820213225 in words is "sixteen trillion, eight hundred thirty-nine billion, eight hundred twenty million, two hundred thirteen thousand, two hundred twenty-five".