221010320352 has 96 divisors (see below), whose sum is σ = 589431935232. Its totient is φ = 72498642944.

The previous prime is 221010320339. The next prime is 221010320353. The reversal of 221010320352 is 253023010122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221010320353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1993813 + ... + 2101739.

It is an arithmetic number, because the mean of its divisors is an integer number (6139915992).

Almost surely, 2^221010320352 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 221010320352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294715967616).

221010320352 is an abundant number, since it is smaller than the sum of its proper divisors (368421614880).

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

221010320352 is a wasteful number, since it uses less digits than its factorization.

221010320352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108280 (or 108272 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 221010320352 its reverse (253023010122), we get a palindrome (474033330474).

The spelling of 221010320352 in words is "two hundred twenty-one billion, ten million, three hundred twenty thousand, three hundred fifty-two".