221473305565056 has 512 divisors, whose sum is σ = 668482214400000. Its totient is φ = 72165559910400.

The previous prime is 221473305565049. The next prime is 221473305565073. The reversal of 221473305565056 is 650565503374122.

221473305565056 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 7 + 3 + 30 + 556 + 5 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 221473305564993 and 221473305565011.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 43588524436 + ... + 43588529516.

It is an arithmetic number, because the mean of its divisors is an integer number (1305629325000).

Almost surely, 2^{221473305565056} 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 221473305565056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334241107200000).

221473305565056 is an abundant number, since it is smaller than the sum of its proper divisors (447008908834944).

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

221473305565056 is a wasteful number, since it uses less digits than its factorization.

221473305565056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6403 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 22680000, while the sum is 54.

The spelling of 221473305565056 in words is "two hundred twenty-one trillion, four hundred seventy-three billion, three hundred five million, five hundred sixty-five thousand, fifty-six".