221048664608 has 54 divisors (see below), whose sum is σ = 462389367951. Its totient is φ = 104001624064.

The previous prime is 221048664601. The next prime is 221048664637. The reversal of 221048664608 is 806466840122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221048664608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 203606707984 + 17441956624 = 451228^2 + 132068^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332452.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221048664601) 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 8 ways as a sum of consecutive naturals, for example, 45211028 + ... + 45215916.

Almost surely, 2^221048664608 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 221048664608

221048664608 is an abundant number, since it is smaller than the sum of its proper divisors (241340703343).

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

221048664608 is an frugal number, since it uses more digits than its factorization.

221048664608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The spelling of 221048664608 in words is "two hundred twenty-one billion, forty-eight million, six hundred sixty-four thousand, six hundred eight".