201830694264369 has 27 divisors (see below), whose sum is σ = 309692115520203. Its totient is φ = 126638412374592.

The previous prime is 201830694264349. The next prime is 201830694264413. The reversal of 201830694264369 is 963462496038102.

The square root of 201830694264369 is 14206713.

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

201830694264369 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 3 + 0 + 6 + 9 + 4 + 264 + 369 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157134623562225 + 44696070702144 = 12535335^2 + 6685512^2 .

It is not a de Polignac number, because 201830694264369 - 2²⁹ = 201830157393457 is a prime.

It is a super-2 number, since 2×201830694264369² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201830694264349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 724403082 + ... + 724681644.

Almost surely, 2^{201830694264369} is an apocalyptic number.

201830694264369 is the 14206713-rd square number.

201830694264369 is the 7103357-th centered octagonal number.

It is an amenable number.

201830694264369 is a deficient number, since it is larger than the sum of its proper divisors (107861421255834).

201830694264369 is an frugal number, since it uses more digits than its factorization.

201830694264369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557166 (or 278583 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 201830694264369 in words is "two hundred one trillion, eight hundred thirty billion, six hundred ninety-four million, two hundred sixty-four thousand, three hundred sixty-nine".