11604226252311 has 256 divisors, whose sum is σ = 21986775613440. Its totient is φ = 5874628032000.

The previous prime is 11604226252291. The next prime is 11604226252321. The reversal of 11604226252311 is 11325262240611.

11604226252311 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 4 + 2 + 2 + 625 + 23 + 1 + 1 = 666.

11604226252311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11604226252311 - 2⁹ = 11604226251799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11604226252321) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9776095660 + ... + 9776096846.

It is an arithmetic number, because the mean of its divisors is an integer number (85885842240).

Almost surely, 2^{11604226252311} is an apocalyptic number.

11604226252311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11604226252311 is a deficient number, since it is larger than the sum of its proper divisors (10382549361129).

11604226252311 is a wasteful number, since it uses less digits than its factorization.

11604226252311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 11604226252311 its reverse (11325262240611), we get a palindrome (22929488492922).

The spelling of 11604226252311 in words is "eleven trillion, six hundred four billion, two hundred twenty-six million, two hundred fifty-two thousand, three hundred eleven".