13214221008769 has 27 divisors (see below), whose sum is σ = 15330297426339. Its totient is φ = 11380014486720.

The previous prime is 13214221008749. The next prime is 13214221008799. The reversal of 13214221008769 is 96780012241231.

The square root of 13214221008769 is 3635137.

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

13214221008769 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2897842313025 + 10316378695744 = 1702305^2 + 3211912^2 .

It is not a de Polignac number, because 13214221008769 - 2⁹ = 13214221008257 is a prime.

It is a super-2 number, since 2×13214221008769² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13214221008749) 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, 759734937 + ... + 759752329.

Almost surely, 2^{13214221008769} is an apocalyptic number.

13214221008769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

13214221008769 is the 3635137-th square number.

13214221008769 is the 1817569-th centered octagonal number.

It is an amenable number.

13214221008769 is a deficient number, since it is larger than the sum of its proper divisors (2116076417570).

13214221008769 is an frugal number, since it uses more digits than its factorization.

13214221008769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34846 (or 17423 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 13214221008769 in words is "thirteen trillion, two hundred fourteen billion, two hundred twenty-one million, eight thousand, seven hundred sixty-nine".