11304580329 has 81 divisors (see below), whose sum is σ = 19546734519. Its totient is φ = 6277309920.

The previous prime is 11304580327. The next prime is 11304580333. The reversal of 11304580329 is 92308540311.

The square root of 11304580329 is 106323.

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

11304580329 is a `hidden beast` number, since 11 + 30 + 4 + 580 + 32 + 9 = 666.

11304580329 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 only one way, i.e., 367603929 + 10936976400 = 19173^2 + 104580^2 .

It is not a de Polignac number, because 11304580329 - 2¹ = 11304580327 is a prime.

It is a super-3 number, since 3×11304580329³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11304580293 and 11304580302.

It is not an unprimeable number, because it can be changed into a prime (11304580327) 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 80 ways as a sum of consecutive naturals, for example, 136199722 + ... + 136199804.

Almost surely, 2^11304580329 is an apocalyptic number.

11304580329 is the 106323-rd square number.

11304580329 is the 53162-nd centered octagonal number.

It is an amenable number.

11304580329 is a deficient number, since it is larger than the sum of its proper divisors (8242154190).

11304580329 is an frugal number, since it uses more digits than its factorization.

11304580329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 11304580329 by its sum of digits (36), we get a square (406964891844 = 637938²).

The spelling of 11304580329 in words is "eleven billion, three hundred four million, five hundred eighty thousand, three hundred twenty-nine".