221976668736 has 189 divisors, whose sum is σ = 648106077801. Its totient is φ = 72639097344.

The previous prime is 221976668729. The next prime is 221976668737. The reversal of 221976668736 is 637866679122.

The square root of 221976668736 is 471144.

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

221976668736 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 only one way, i.e., 210020558400 + 11956110336 = 458280^2 + 109344^2 .

It is not an unprimeable number, because it can be changed into a prime (221976668737) 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 26 ways as a sum of consecutive naturals, for example, 757599406 + ... + 757599698.

Almost surely, 2^221976668736 is an apocalyptic number.

221976668736 is the 471144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221976668736

221976668736 is an abundant number, since it is smaller than the sum of its proper divisors (426129409065).

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

221976668736 is an frugal number, since it uses more digits than its factorization.

221976668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 365 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 221976668736 in words is "two hundred twenty-one billion, nine hundred seventy-six million, six hundred sixty-eight thousand, seven hundred thirty-six".