11304431114004 has 144 divisors (see below), whose sum is σ = 34670572574400. Its totient is φ = 3175094365632.

The previous prime is 11304431113999. The next prime is 11304431114047. The reversal of 11304431114004 is 40041113440311.

11304431114004 is a `hidden beast` number, since 1 + 1 + 304 + 4 + 311 + 1 + 40 + 0 + 4 = 666.

It is a super-3 number, since 3×11304431114004³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 17790619 + ... + 18415074.

It is an arithmetic number, because the mean of its divisors is an integer number (240767865100).

Almost surely, 2^{11304431114004} is an apocalyptic number.

11304431114004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11304431114004 is an abundant number, since it is smaller than the sum of its proper divisors (23366141460396).

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

11304431114004 is a wasteful number, since it uses less digits than its factorization.

11304431114004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36205779 (or 36205764 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11304431114004 its reverse (40041113440311), we get a palindrome (51345544554315).

The spelling of 11304431114004 in words is "eleven trillion, three hundred four billion, four hundred thirty-one million, one hundred fourteen thousand, four".