221743042816 has 81 divisors (see below), whose sum is σ = 467443551141. Its totient is φ = 104968369152.

The previous prime is 221743042813. The next prime is 221743042831. The reversal of 221743042816 is 618240347122.

The square root of 221743042816 is 470896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 75023401216 + 146719641600 = 273904^2 + 383040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221743042813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143151610 + ... + 143153158.

Almost surely, 2^221743042816 is an apocalyptic number.

221743042816 is the 470896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221743042816

221743042816 is an abundant number, since it is smaller than the sum of its proper divisors (245700508325).

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

221743042816 is an frugal number, since it uses more digits than its factorization.

221743042816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

Adding to 221743042816 its reverse (618240347122), we get a palindrome (839983389938).

The spelling of 221743042816 in words is "two hundred twenty-one billion, seven hundred forty-three million, forty-two thousand, eight hundred sixteen".