221362722064 has 225 divisors, whose sum is σ = 514791954201. Its totient is φ = 92141153280.

The previous prime is 221362722029. The next prime is 221362722121. The reversal of 221362722064 is 460227263122.

It is a happy number.

The square root of 221362722064 is 470492.

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

It can be written as a sum of positive squares in 7 ways, for example, as 14694288400 + 206668433664 = 121220^2 + 454608^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5982776254 + ... + 5982776290.

Almost surely, 2^221362722064 is an apocalyptic number.

221362722064 is the 470492-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221362722064

221362722064 is an abundant number, since it is smaller than the sum of its proper divisors (293429232137).

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

221362722064 is an frugal number, since it uses more digits than its factorization.

221362722064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 221362722064 its reverse (460227263122), we get a palindrome (681589985186).

The spelling of 221362722064 in words is "two hundred twenty-one billion, three hundred sixty-two million, seven hundred twenty-two thousand, sixty-four".