221132774466560 has 352 divisors, whose sum is σ = 585944301441024. Its totient is φ = 79407104000000.

The previous prime is 221132774466521. The next prime is 221132774466613. The reversal of 221132774466560 is 65664477231122.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 221132774466496 and 221132774466505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2178575810 + ... + 2178677310.

Almost surely, 2^{221132774466560} is an apocalyptic number.

221132774466560 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 221132774466560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292972150720512).

221132774466560 is an abundant number, since it is smaller than the sum of its proper divisors (364811526974464).

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

221132774466560 is a wasteful number, since it uses less digits than its factorization.

221132774466560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102021 (or 102003 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 56.

The spelling of 221132774466560 in words is "two hundred twenty-one trillion, one hundred thirty-two billion, seven hundred seventy-four million, four hundred sixty-six thousand, five hundred sixty".