11226005452566 has 48 divisors (see below), whose sum is σ = 24383776264848. Its totient is φ = 3732658776000.

The previous prime is 11226005452507. The next prime is 11226005452573. The reversal of 11226005452566 is 66525450062211.

11226005452566 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 60 + 0 + 5 + 4 + 525 + 66 = 666.

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 23 ways as a sum of consecutive naturals, for example, 25229416 + ... + 25670516.

It is an arithmetic number, because the mean of its divisors is an integer number (507995338851).

Almost surely, 2^{11226005452566} is an apocalyptic number.

11226005452566 is an abundant number, since it is smaller than the sum of its proper divisors (13157770812282).

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

11226005452566 is a wasteful number, since it uses less digits than its factorization.

11226005452566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444637 (or 444634 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 11226005452566 in words is "eleven trillion, two hundred twenty-six billion, five million, four hundred fifty-two thousand, five hundred sixty-six".