221085295648 has 192 divisors, whose sum is σ = 528346748160. Its totient is φ = 88958435328.

The previous prime is 221085295621. The next prime is 221085295679. The reversal of 221085295648 is 846592580122.

221085295648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221085295595 and 221085295604.

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 31 ways as a sum of consecutive naturals, for example, 383163136 + ... + 383163712.

It is an arithmetic number, because the mean of its divisors is an integer number (2751805980).

Almost surely, 2^221085295648 is an apocalyptic number.

221085295648 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 221085295648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264173374080).

221085295648 is an abundant number, since it is smaller than the sum of its proper divisors (307261452512).

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

221085295648 is a wasteful number, since it uses less digits than its factorization.

221085295648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 52.

The spelling of 221085295648 in words is "two hundred twenty-one billion, eighty-five million, two hundred ninety-five thousand, six hundred forty-eight".