221581684780 has 48 divisors (see below), whose sum is σ = 468437800320. Its totient is φ = 88040960000.

The previous prime is 221581684759. The next prime is 221581684781. The reversal of 221581684780 is 87486185122.

221581684780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (221581684781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1858980 + ... + 1974580.

It is an arithmetic number, because the mean of its divisors is an integer number (9759120840).

Almost surely, 2^221581684780 is an apocalyptic number.

221581684780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221581684780 is an abundant number, since it is smaller than the sum of its proper divisors (246856115540).

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

221581684780 is a wasteful number, since it uses less digits than its factorization.

221581684780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116250 (or 116248 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 221581684780 in words is "two hundred twenty-one billion, five hundred eighty-one million, six hundred eighty-four thousand, seven hundred eighty".