221341657680 has 960 divisors, whose sum is σ = 900842342400. Its totient is φ = 47995269120.

The previous prime is 221341657657. The next prime is 221341657711. The reversal of 221341657680 is 86756143122.

221341657680 is a `hidden beast` number, since 22 + 13 + 41 + 6 + 576 + 8 + 0 = 666.

221341657680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 504194901 + ... + 504195339.

It is an arithmetic number, because the mean of its divisors is an integer number (938377440).

Almost surely, 2^221341657680 is an apocalyptic number.

221341657680 is a gapful number since it is divisible by the number (20) 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 221341657680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450421171200).

221341657680 is an abundant number, since it is smaller than the sum of its proper divisors (679500684720).

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

221341657680 is a wasteful number, since it uses less digits than its factorization.

221341657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 221341657680 in words is "two hundred twenty-one billion, three hundred forty-one million, six hundred fifty-seven thousand, six hundred eighty".