13777065792009 has 45 divisors (see below), whose sum is σ = 21561443742579. Its totient is φ = 8477036268480.

The previous prime is 13777065792001. The next prime is 13777065792011. The reversal of 13777065792009 is 90029756077731.

The square root of 13777065792009 is 3711747.

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

13777065792009 is a `hidden beast` number, since 1 + 37 + 7 + 7 + 0 + 6 + 579 + 20 + 0 + 9 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 7173810489609 + 6603255302400 = 2678397^2 + 2569680^2 .

It is not a de Polignac number, because 13777065792009 - 2³ = 13777065792001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13777065792001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1881852069 + ... + 1881859389.

Almost surely, 2^{13777065792009} is an apocalyptic number.

13777065792009 is the 3711747-th square number.

13777065792009 is the 1855874-th centered octagonal number.

It is an amenable number.

13777065792009 is a deficient number, since it is larger than the sum of its proper divisors (7784377950570).

13777065792009 is an frugal number, since it uses more digits than its factorization.

13777065792009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14700 (or 7337 counting only the distinct ones).

The product of its (nonzero) digits is 35006580, while the sum is 63.

The spelling of 13777065792009 in words is "thirteen trillion, seven hundred seventy-seven billion, sixty-five million, seven hundred ninety-two thousand, nine".