11224552316166 has 128 divisors (see below), whose sum is σ = 28762841318400. Its totient is φ = 3178217710080.

The previous prime is 11224552316123. The next prime is 11224552316191. The reversal of 11224552316166 is 66161325542211.

11224552316166 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 5 + 5 + 23 + 1 + 616 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 487397940 + ... + 487420968.

It is an arithmetic number, because the mean of its divisors is an integer number (224709697800).

Almost surely, 2^{11224552316166} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11224552316166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14381420659200).

11224552316166 is an abundant number, since it is smaller than the sum of its proper divisors (17538289002234).

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

11224552316166 is a wasteful number, since it uses less digits than its factorization.

11224552316166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34571 (or 34565 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

Adding to 11224552316166 its reverse (66161325542211), we get a palindrome (77385877858377).

The spelling of 11224552316166 in words is "eleven trillion, two hundred twenty-four billion, five hundred fifty-two million, three hundred sixteen thousand, one hundred sixty-six".