221289052704 has 24 divisors (see below), whose sum is σ = 580883763600. Its totient is φ = 73763017536.

The previous prime is 221289052687. The next prime is 221289052723. The reversal of 221289052704 is 407250982122.

221289052704 is digitally balanced in base 2, because in such base 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 (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1152547054 + ... + 1152547245.

It is an arithmetic number, because the mean of its divisors is an integer number (24203490150).

Almost surely, 2^221289052704 is an apocalyptic number.

221289052704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221289052704 is an abundant number, since it is smaller than the sum of its proper divisors (359594710896).

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

221289052704 is a wasteful number, since it uses less digits than its factorization.

221289052704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305094312 (or 2305094304 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 221289052704 in words is "two hundred twenty-one billion, two hundred eighty-nine million, fifty-two thousand, seven hundred four".