19338331666369 has 27 divisors (see below), whose sum is σ = 19944413912259. Its totient is φ = 18750394162080.

The previous prime is 19338331666361. The next prime is 19338331666387. The reversal of 19338331666369 is 96366613383391.

The square root of 19338331666369 is 4397537.

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

It can be written as a sum of positive squares in only one way, i.e., 931829187969 + 18406502478400 = 965313^2 + 4290280^2 .

It is not a de Polignac number, because 19338331666369 - 2³ = 19338331666361 is a prime.

It is a super-2 number, since 2×19338331666369² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19338331666361) by changing a digit.

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, 51024621622 + ... + 51024622000.

Almost surely, 2^{19338331666369} is an apocalyptic number.

19338331666369 is the 4397537-th square number.

19338331666369 is the 2198769-th centered octagonal number.

It is an amenable number.

19338331666369 is a deficient number, since it is larger than the sum of its proper divisors (606082245890).

19338331666369 is an frugal number, since it uses more digits than its factorization.

19338331666369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its digits is 204073344, while the sum is 67.

The spelling of 19338331666369 in words is "nineteen trillion, three hundred thirty-eight billion, three hundred thirty-one million, six hundred sixty-six thousand, three hundred sixty-nine".