11364097729 has 8 divisors (see below), whose sum is σ = 12033536040. Its totient is φ = 10694766336.

The previous prime is 11364097681. The next prime is 11364097751. The reversal of 11364097729 is 92779046311.

11364097729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1630302129 + 9733795600 = 40377^2 + 98660^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11364097729 - 2¹³ = 11364089537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11364097229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 322807 + ... + 356275.

It is an arithmetic number, because the mean of its divisors is an integer number (1504192005).

Almost surely, 2^11364097729 is an apocalyptic number.

It is an amenable number.

11364097729 is a deficient number, since it is larger than the sum of its proper divisors (669438311).

11364097729 is a wasteful number, since it uses less digits than its factorization.

11364097729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53459.

The product of its (nonzero) digits is 571536, while the sum is 49.

The spelling of 11364097729 in words is "eleven billion, three hundred sixty-four million, ninety-seven thousand, seven hundred twenty-nine".