221363566608 has 320 divisors, whose sum is σ = 644493035520. Its totient is φ = 65144217600.

The previous prime is 221363566591. The next prime is 221363566637. The reversal of 221363566608 is 806665363122.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 144586803 + ... + 144588333.

It is an arithmetic number, because the mean of its divisors is an integer number (2014040736).

Almost surely, 2^221363566608 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 221363566608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322246517760).

221363566608 is an abundant number, since it is smaller than the sum of its proper divisors (423129468912).

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

221363566608 is a wasteful number, since it uses less digits than its factorization.

221363566608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 221363566608 in words is "two hundred twenty-one billion, three hundred sixty-three million, five hundred sixty-six thousand, six hundred eight".