221621354416200 has 192 divisors, whose sum is σ = 703808098398720. Its totient is φ = 57655526656000.

The previous prime is 221621354416151. The next prime is 221621354416229. The reversal of 221621354416200 is 2614453126122.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 761003017 + ... + 761294183.

It is an arithmetic number, because the mean of its divisors is an integer number (3665667179160).

Almost surely, 2^{221621354416200} is an apocalyptic number.

221621354416200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221621354416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351904049199360).

221621354416200 is an abundant number, since it is smaller than the sum of its proper divisors (482186743982520).

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

221621354416200 is a wasteful number, since it uses less digits than its factorization.

221621354416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322168 (or 322159 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 221621354416200 in words is "two hundred twenty-one trillion, six hundred twenty-one billion, three hundred fifty-four million, four hundred sixteen thousand, two hundred".