11144104430304 has 24 divisors (see below), whose sum is σ = 29253274129800. Its totient is φ = 3714701476736.

The previous prime is 11144104430293. The next prime is 11144104430321. The reversal of 11144104430304 is 40303440144111.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 58042210479 + ... + 58042210670.

It is an arithmetic number, because the mean of its divisors is an integer number (1218886422075).

Almost surely, 2^{11144104430304} is an apocalyptic number.

It is an amenable number.

11144104430304 is an abundant number, since it is smaller than the sum of its proper divisors (18109169699496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11144104430304 is a wasteful number, since it uses less digits than its factorization.

11144104430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116084421162 (or 116084421154 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11144104430304 its reverse (40303440144111), we get a palindrome (51447544574415).

The spelling of 11144104430304 in words is "eleven trillion, one hundred forty-four billion, one hundred four million, four hundred thirty thousand, three hundred four".