221081911056 has 320 divisors, whose sum is σ = 668568637440. Its totient is φ = 69874721280.

The previous prime is 221081911033. The next prime is 221081911091. The reversal of 221081911056 is 650119180122.

It is a super-2 number, since 2×221081911056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221081911056.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114371466 + ... + 114373398.

It is an arithmetic number, because the mean of its divisors is an integer number (2089276992).

Almost surely, 2^221081911056 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 221081911056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334284318720).

221081911056 is an abundant number, since it is smaller than the sum of its proper divisors (447486726384).

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

221081911056 is a wasteful number, since it uses less digits than its factorization.

221081911056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 221081911056 in words is "two hundred twenty-one billion, eighty-one million, nine hundred eleven thousand, fifty-six".