11221164548568 has 128 divisors (see below), whose sum is σ = 33580776600000. Its totient is φ = 3451309295616.

The previous prime is 11221164548567. The next prime is 11221164548663. The reversal of 11221164548568 is 86584546112211.

11221164548568 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 11 + 64 + 5 + 4 + 8 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221164548567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6373728 + ... + 7941456.

Almost surely, 2^{11221164548568} is an apocalyptic number.

11221164548568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221164548568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790388300000).

11221164548568 is an abundant number, since it is smaller than the sum of its proper divisors (22359612051432).

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

11221164548568 is a wasteful number, since it uses less digits than its factorization.

11221164548568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570306 (or 1570296 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 11221164548568 in words is "eleven trillion, two hundred twenty-one billion, one hundred sixty-four million, five hundred forty-eight thousand, five hundred sixty-eight".