11349399618769 has 27 divisors (see below), whose sum is σ = 11817431426577. Its totient is φ = 10899670048704.

The previous prime is 11349399618763. The next prime is 11349399618853. The reversal of 11349399618769 is 96781699394311.

The square root of 11349399618769 is 3368887.

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 600837368769 + 10748562250000 = 775137^2 + 3278500^2 .

It is not a de Polignac number, because 11349399618769 - 2³ = 11349399618761 is a prime.

It is a super-2 number, since 2×11349399618769² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11349399618695 and 11349399618704.

It is not an unprimeable number, because it can be changed into a prime (11349399618761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10345851429 + ... + 10345852525.

Almost surely, 2^{11349399618769} is an apocalyptic number.

11349399618769 is the 3368887-th square number.

11349399618769 is the 1684444-th centered octagonal number.

It is an amenable number.

11349399618769 is a deficient number, since it is larger than the sum of its proper divisors (468031807808).

11349399618769 is an frugal number, since it uses more digits than its factorization.

11349399618769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 1217 counting only the distinct ones).

The product of its digits is 476171136, while the sum is 76.

The spelling of 11349399618769 in words is "eleven trillion, three hundred forty-nine billion, three hundred ninety-nine million, six hundred eighteen thousand, seven hundred sixty-nine".