221171214985056 has 672 divisors, whose sum is σ = 751513750827840. Its totient is φ = 62734947545088.

The previous prime is 221171214985051. The next prime is 221171214985081. The reversal of 221171214985056 is 650589412171122.

221171214985056 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 7 + 121 + 4 + 9 + 8 + 505 + 6 = 666.

221171214985056 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 221171214984993 and 221171214985011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221171214985051) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36635944470 + ... + 36635950506.

It is an arithmetic number, because the mean of its divisors is an integer number (1118324033970).

Almost surely, 2^{221171214985056} 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 221171214985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375756875413920).

221171214985056 is an abundant number, since it is smaller than the sum of its proper divisors (530342535842784).

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

221171214985056 is a wasteful number, since it uses less digits than its factorization.

221171214985056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7658 (or 7635 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 221171214985056 in words is "two hundred twenty-one trillion, one hundred seventy-one billion, two hundred fourteen million, nine hundred eighty-five thousand, fifty-six".