209446338452121 has 45 divisors (see below), whose sum is σ = 314560666192773. Its totient is φ = 138883342131720.

The previous prime is 209446338452119. The next prime is 209446338452147. The reversal of 209446338452121 is 121254833644902.

The square root of 209446338452121 is 14472261.

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

209446338452121 is a `hidden beast` number, since 2 + 0 + 9 + 4 + 4 + 6 + 33 + 84 + 521 + 2 + 1 = 666.

It is not a de Polignac number, because 209446338452121 - 2¹ = 209446338452119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (209446338452171) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24877812450 + ... + 24877820868.

Almost surely, 2^{209446338452121} is an apocalyptic number.

209446338452121 is the 14472261-st square number.

209446338452121 is the 7236131-st centered octagonal number.

It is an amenable number.

209446338452121 is a deficient number, since it is larger than the sum of its proper divisors (105114327740652).

209446338452121 is an frugal number, since it uses more digits than its factorization.

209446338452121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17232 (or 8613 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 209446338452121 in words is "two hundred nine trillion, four hundred forty-six billion, three hundred thirty-eight million, four hundred fifty-two thousand, one hundred twenty-one".