221935811328 has 648 divisors, whose sum is σ = 842240992320. Its totient is φ = 57636956160.

The previous prime is 221935811263. The next prime is 221935811341. The reversal of 221935811328 is 823118539122.

221935811328 is a `hidden beast` number, since 2 + 219 + 35 + 81 + 1 + 328 = 666.

221935811328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-2 number, since 2×221935811328² (a number of 23 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 33526803 + ... + 33533421.

Almost surely, 2^221935811328 is an apocalyptic number.

221935811328 is a gapful number since it is divisible by the number (28) 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 221935811328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421120496160).

221935811328 is an abundant number, since it is smaller than the sum of its proper divisors (620305180992).

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

221935811328 is an equidigital number, since it uses as much as digits as its factorization.

221935811328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6675 (or 6642 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 221935811328 in words is "two hundred twenty-one billion, nine hundred thirty-five million, eight hundred eleven thousand, three hundred twenty-eight".