14769056360809 has 27 divisors (see below), whose sum is σ = 15378369016311. Its totient is φ = 14183632568160.

The previous prime is 14769056360771. The next prime is 14769056360813. The reversal of 14769056360809 is 90806365096741.

The square root of 14769056360809 is 3843053.

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., 711655898409 + 14057400462400 = 843597^2 + 3749320^2 .

It is not a de Polignac number, because 14769056360809 - 2¹⁵ = 14769056328041 is a prime.

It is a super-2 number, since 2×14769056360809² (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 (14769056160809) 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, 10556865892 + ... + 10556867290.

Almost surely, 2^{14769056360809} is an apocalyptic number.

14769056360809 is the 3843053-rd square number.

14769056360809 is the 1921527-th centered octagonal number.

It is an amenable number.

14769056360809 is a deficient number, since it is larger than the sum of its proper divisors (609312655502).

14769056360809 is an frugal number, since it uses more digits than its factorization.

14769056360809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 14769056360809 by its sum of digits (64), we get a square (945219607091776 = 30744424²).

The spelling of 14769056360809 in words is "fourteen trillion, seven hundred sixty-nine billion, fifty-six million, three hundred sixty thousand, eight hundred nine".