11218582368 has 72 divisors (see below), whose sum is σ = 36460399248. Its totient is φ = 3205308672.

The previous prime is 11218582339. The next prime is 11218582409. The reversal of 11218582368 is 86328581211.

11218582368 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 8 + 582 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2780371 + ... + 2784402.

It is an arithmetic number, because the mean of its divisors is an integer number (506394434).

Almost surely, 2^11218582368 is an apocalyptic number.

11218582368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11218582368 is an abundant number, since it is smaller than the sum of its proper divisors (25241816880).

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

11218582368 is a wasteful number, since it uses less digits than its factorization.

11218582368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5564796 (or 5564785 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The spelling of 11218582368 in words is "eleven billion, two hundred eighteen million, five hundred eighty-two thousand, three hundred sixty-eight".