11133424242405 has 80 divisors (see below), whose sum is σ = 20029511779200. Its totient is φ = 5916485911680.

The previous prime is 11133424242383. The next prime is 11133424242461. The reversal of 11133424242405 is 50424242433111.

11133424242405 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 3 + 4 + 2 + 4 + 242 + 405 = 666.

It is not a de Polignac number, because 11133424242405 - 2⁷ = 11133424242277 is a prime.

It is a super-2 number, since 2×11133424242405² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11133424242405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183021895 + ... + 183082715.

It is an arithmetic number, because the mean of its divisors is an integer number (250368897240).

Almost surely, 2^{11133424242405} is an apocalyptic number.

11133424242405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11133424242405 is a deficient number, since it is larger than the sum of its proper divisors (8896087536795).

11133424242405 is a wasteful number, since it uses less digits than its factorization.

11133424242405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62456 (or 62447 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 11133424242405 its reverse (50424242433111), we get a palindrome (61557666675516).

The spelling of 11133424242405 in words is "eleven trillion, one hundred thirty-three billion, four hundred twenty-four million, two hundred forty-two thousand, four hundred five".