221208270368 has 162 divisors, whose sum is σ = 468518349663. Its totient is φ = 102804656640.

The previous prime is 221208270343. The next prime is 221208270427. The reversal of 221208270368 is 863072802122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 9229060624 + 211979209744 = 96068^2 + 460412^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332572.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3626365058 + ... + 3626365118.

Almost surely, 2^221208270368 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 221208270368

221208270368 is an abundant number, since it is smaller than the sum of its proper divisors (247310079295).

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

221208270368 is an frugal number, since it uses more digits than its factorization.

221208270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 221208270368 in words is "two hundred twenty-one billion, two hundred eight million, two hundred seventy thousand, three hundred sixty-eight".