221141465305200 has 720 divisors, whose sum is σ = 866091485409696. Its totient is φ = 51780346675200.

The previous prime is 221141465305199. The next prime is 221141465305249. The reversal of 221141465305200 is 2503564141122.

221141465305200 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 4 + 146 + 5 + 305 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 200181564 + ... + 201283236.

Almost surely, 2^{221141465305200} is an apocalyptic number.

221141465305200 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 221141465305200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433045742704848).

221141465305200 is an abundant number, since it is smaller than the sum of its proper divisors (644950020104496).

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

221141465305200 is a wasteful number, since it uses less digits than its factorization.

221141465305200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101882 (or 1101868 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 221141465305200 in words is "two hundred twenty-one trillion, one hundred forty-one billion, four hundred sixty-five million, three hundred five thousand, two hundred".