221323302144 has 216 divisors, whose sum is σ = 732209954112. Its totient is φ = 62982144000.

The previous prime is 221323302121. The next prime is 221323302181. The reversal of 221323302144 is 441203323122.

221323302144 is a `hidden beast` number, since 2 + 21 + 323 + 302 + 14 + 4 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 4020792 + ... + 4075464.

Almost surely, 2^221323302144 is an apocalyptic number.

221323302144 is a gapful number since it is divisible by the number (24) 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 221323302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366104977056).

221323302144 is an abundant number, since it is smaller than the sum of its proper divisors (510886651968).

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

221323302144 is a wasteful number, since it uses less digits than its factorization.

221323302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54953 (or 54936 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 221323302144 its reverse (441203323122), we get a palindrome (662526625266).

The spelling of 221323302144 in words is "two hundred twenty-one billion, three hundred twenty-three million, three hundred two thousand, one hundred forty-four".