221600664649728 has 2880 divisors, whose sum is σ = 863983062835200. Its totient is φ = 56184274944000.

The previous prime is 221600664649657. The next prime is 221600664649811. The reversal of 221600664649728 is 827946466006122.

It is a happy number.

221600664649728 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 0 + 0 + 66 + 464 + 97 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 159 ways as a sum of consecutive naturals, for example, 1467554070453 + ... + 1467554070603.

It is an arithmetic number, because the mean of its divisors is an integer number (299994119040).

Almost surely, 2^{221600664649728} is an apocalyptic number.

221600664649728 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 221600664649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431991531417600).

221600664649728 is an abundant number, since it is smaller than the sum of its proper divisors (642382398185472).

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

221600664649728 is an frugal number, since it uses more digits than its factorization.

221600664649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 221600664649728 in words is "two hundred twenty-one trillion, six hundred billion, six hundred sixty-four million, six hundred forty-nine thousand, seven hundred twenty-eight".