13783464409 has 27 divisors (see below), whose sum is σ = 16425490557. Its totient is φ = 11552455200.

The previous prime is 13783464389. The next prime is 13783464437. The reversal of 13783464409 is 90446438731.

The square root of 13783464409 is 117403.

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 4734128025 + 9049336384 = 68805^2 + 95128^2 .

It is not a de Polignac number, because 13783464409 - 2⁵ = 13783464377 is a prime.

It is a super-2 number, since 2×13783464409² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13783464469) 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, 16788219 + ... + 16789039.

Almost surely, 2^13783464409 is an apocalyptic number.

13783464409 is the 117403-rd square number.

13783464409 is the 58702-nd centered octagonal number.

It is an amenable number.

13783464409 is a deficient number, since it is larger than the sum of its proper divisors (2642026148).

13783464409 is an frugal number, since it uses more digits than its factorization.

13783464409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 13783464409 by its sum of digits (49), we get a square (675389756041 = 821821²).

The spelling of 13783464409 in words is "thirteen billion, seven hundred eighty-three million, four hundred sixty-four thousand, four hundred nine".