221866344000 has 896 divisors, whose sum is σ = 979378483200. Its totient is φ = 48037017600.

The previous prime is 221866343989. The next prime is 221866344001. The reversal of 221866344000 is 443668122.

221866344000 is a `hidden beast` number, since 2 + 2 + 18 + 6 + 634 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221866344001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 28724139 + ... + 28731861.

Almost surely, 2^221866344000 is an apocalyptic number.

221866344000 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 221866344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489689241600).

221866344000 is an abundant number, since it is smaller than the sum of its proper divisors (757512139200).

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

221866344000 is a wasteful number, since it uses less digits than its factorization.

221866344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7785 (or 7759 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 221866344000 in words is "two hundred twenty-one billion, eight hundred sixty-six million, three hundred forty-four thousand".