221105668480 has 64 divisors (see below), whose sum is σ = 530792740800. Its totient is φ = 88072155136.

The previous prime is 221105668463. The next prime is 221105668529. The reversal of 221105668480 is 84866501122.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 569797 + ... + 875716.

It is an arithmetic number, because the mean of its divisors is an integer number (8293636575).

Almost surely, 2^221105668480 is an apocalyptic number.

221105668480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221105668480 is an abundant number, since it is smaller than the sum of its proper divisors (309687072320).

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

221105668480 is a wasteful number, since it uses less digits than its factorization.

221105668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445771 (or 1445759 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 221105668480 in words is "two hundred twenty-one billion, one hundred five million, six hundred sixty-eight thousand, four hundred eighty".