221804866080 has 1440 divisors, whose sum is σ = 991102210560. Its totient is φ = 46402191360.

The previous prime is 221804866039. The next prime is 221804866147. The reversal of 221804866080 is 80668408122.

221804866080 is a `hidden beast` number, since 22 + 18 + 0 + 4 + 8 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 374038264 + ... + 374038856.

It is an arithmetic number, because the mean of its divisors is an integer number (688265424).

Almost surely, 2^221804866080 is an apocalyptic number.

221804866080 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 221804866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495551105280).

221804866080 is an abundant number, since it is smaller than the sum of its proper divisors (769297344480).

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

221804866080 is a wasteful number, since it uses less digits than its factorization.

221804866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 221804866080 in words is "two hundred twenty-one billion, eight hundred four million, eight hundred sixty-six thousand, eighty".