221916549632 has 90 divisors (see below), whose sum is σ = 449860099689. Its totient is φ = 109364705280.

The previous prime is 221916549599. The next prime is 221916549641. The reversal of 221916549632 is 236945619122.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 212941639936 + 8974909696 = 461456^2 + 94736^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=333104.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1161866657 + ... + 1161866847.

Almost surely, 2^221916549632 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 221916549632

221916549632 is an abundant number, since it is smaller than the sum of its proper divisors (227943550057).

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

221916549632 is an frugal number, since it uses more digits than its factorization.

221916549632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 302 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 50.

Multiplying 221916549632 by its sum of digits (50), we get a square (11095827481600 = 3331040²).

The spelling of 221916549632 in words is "two hundred twenty-one billion, nine hundred sixteen million, five hundred forty-nine thousand, six hundred thirty-two".