221718064050 has 450 divisors, whose sum is σ = 723470595309. Its totient is φ = 50342796000.

The previous prime is 221718064049. The next prime is 221718064069. The reversal of 221718064050 is 50460817122.

221718064050 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 1 + 8 + 0 + 640 + 5 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217283702769 + 4434361281 = 466137^2 + 66591^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332955.

It is a junction number, because it is equal to n+sod(n) for n = 221718063996 and 221718064014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1468331475 + ... + 1468331625.

Almost surely, 2^221718064050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221718064050

221718064050 is an abundant number, since it is smaller than the sum of its proper divisors (501752531259).

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

221718064050 is an frugal number, since it uses more digits than its factorization.

221718064050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 221718064050 in words is "two hundred twenty-one billion, seven hundred eighteen million, sixty-four thousand, fifty".