14563359542809 has 81 divisors (see below), whose sum is σ = 19296696814941. Its totient is φ = 10950348319680.

The previous prime is 14563359542803. The next prime is 14563359542863. The reversal of 14563359542809 is 90824595336541.

It is a happy number.

The square root of 14563359542809 is 3816197.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1376874600409 + 13186484942400 = 1173403^2 + 3631320^2 .

It is not a de Polignac number, because 14563359542809 - 2³⁵ = 14528999804441 is a prime.

It is a super-2 number, since 2×14563359542809² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14563359542803) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8521567047 + ... + 8521568755.

Almost surely, 2^{14563359542809} is an apocalyptic number.

14563359542809 is the 3816197-th square number.

14563359542809 is the 1908099-th centered octagonal number.

It is an amenable number.

14563359542809 is a deficient number, since it is larger than the sum of its proper divisors (4733337272132).

14563359542809 is an frugal number, since it uses more digits than its factorization.

14563359542809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 64.

Multiplying 14563359542809 by its sum of digits (64), we get a square (932055010739776 = 30529576²).

The spelling of 14563359542809 in words is "fourteen trillion, five hundred sixty-three billion, three hundred fifty-nine million, five hundred forty-two thousand, eight hundred nine".