221166580544 has 224 divisors, whose sum is σ = 558764236800. Its totient is φ = 84492564480.

The previous prime is 221166580543. The next prime is 221166580553. The reversal of 221166580544 is 445085661122.

221166580544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 221166580495 and 221166580504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221166580541) 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, 111755747 + ... + 111757725.

It is an arithmetic number, because the mean of its divisors is an integer number (2494483200).

Almost surely, 2^221166580544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221166580544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279382118400).

221166580544 is an abundant number, since it is smaller than the sum of its proper divisors (337597656256).

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

221166580544 is a wasteful number, since it uses less digits than its factorization.

221166580544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 44.

The spelling of 221166580544 in words is "two hundred twenty-one billion, one hundred sixty-six million, five hundred eighty thousand, five hundred forty-four".