221051799072 has 144 divisors (see below), whose sum is σ = 680886257688. Its totient is φ = 67622584320.

The previous prime is 221051799053. The next prime is 221051799083. The reversal of 221051799072 is 270997150122.

It can be written as a sum of positive squares in 4 ways, for example, as 220971445776 + 80353296 = 470076^2 + 8964^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×221051799072² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477072 + ... + 818352.

Almost surely, 2^221051799072 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 221051799072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340443128844).

221051799072 is an abundant number, since it is smaller than the sum of its proper divisors (459834458616).

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

221051799072 is a wasteful number, since it uses less digits than its factorization.

221051799072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341483 (or 341472 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 221051799072 in words is "two hundred twenty-one billion, fifty-one million, seven hundred ninety-nine thousand, seventy-two".