13730337469809 has 9 divisors (see below), whose sum is σ = 19832725735563. Its totient is φ = 9153550902312.

The previous prime is 13730337469789. The next prime is 13730337469879. The reversal of 13730337469809 is 90896473303731.

The square root of 13730337469809 is 3705447.

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

13730337469809 is a `hidden beast` number, since 1 + 37 + 30 + 3 + 37 + 469 + 80 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10421940259809 + 3308397210000 = 3228303^2 + 1818900^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 13730337469809 - 2²⁷ = 13730203252081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13730337469879) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10498767 + ... + 11733915.

Almost surely, 2^{13730337469809} is an apocalyptic number.

13730337469809 is the 3705447-th square number.

13730337469809 is the 1852724-th centered octagonal number.

It is an amenable number.

13730337469809 is a deficient number, since it is larger than the sum of its proper divisors (6102388265754).

13730337469809 is an frugal number, since it uses more digits than its factorization.

13730337469809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2470304 (or 1235152 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 63.

The spelling of 13730337469809 in words is "thirteen trillion, seven hundred thirty billion, three hundred thirty-seven million, four hundred sixty-nine thousand, eight hundred nine".