350199985204161 has 9 divisors (see below), whose sum is σ = 505844504165091. Its totient is φ = 233466619375512.

The previous prime is 350199985204081. The next prime is 350199985204207. The reversal of 350199985204161 is 161402589991053.

The square root of 350199985204161 is 18713631.

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

350199985204161 is a `hidden beast` number, since 3 + 5 + 0 + 1 + 9 + 9 + 9 + 8 + 520 + 41 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195208540607025 + 154991444597136 = 13971705^2 + 12449556^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 350199985204161 - 2³⁷ = 350062546250689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (350199985204261) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53021955 + ... + 59259831.

Almost surely, 2^{350199985204161} is an apocalyptic number.

350199985204161 is the 18713631-st square number.

350199985204161 is the 9356816-th centered octagonal number.

It is an amenable number.

350199985204161 is a deficient number, since it is larger than the sum of its proper divisors (155644518960930).

350199985204161 is an frugal number, since it uses more digits than its factorization.

350199985204161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12475760 (or 6237880 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 350199985204161 in words is "three hundred fifty trillion, one hundred ninety-nine billion, nine hundred eighty-five million, two hundred four thousand, one hundred sixty-one".