13084385769 has 81 divisors (see below), whose sum is σ = 23863551543. Its totient is φ = 6885182304.

The previous prime is 13084385689. The next prime is 13084385771. The reversal of 13084385769 is 96758348031.

The square root of 13084385769 is 114387.

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

13084385769 is a `hidden beast` number, since 1 + 30 + 8 + 4 + 38 + 576 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1935560025 + 11148825744 = 43995^2 + 105588^2 .

It is a de Polignac number, because none of the positive numbers 2^k-13084385769 is a prime.

It is a super-2 number, since 2×13084385769² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13084385569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 31227442 + ... + 31227860.

Almost surely, 2^13084385769 is an apocalyptic number.

13084385769 is the 114387-th square number.

13084385769 is the 57194-th centered octagonal number.

It is an amenable number.

13084385769 is a deficient number, since it is larger than the sum of its proper divisors (10779165774).

13084385769 is an equidigital number, since it uses as much as digits as its factorization.

13084385769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

It can be divided in two parts, 130843 and 85769, that added together give a palindrome (216612).

The spelling of 13084385769 in words is "thirteen billion, eighty-four million, three hundred eighty-five thousand, seven hundred sixty-nine".