221544342320 has 80 divisors (see below), whose sum is σ = 608974148160. Its totient is φ = 73338811392.

The previous prime is 221544342319. The next prime is 221544342367. The reversal of 221544342320 is 23243445122.

221544342320 is digitally balanced in base 3, 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 (80).

It is a super-2 number, since 2×221544342320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6804707 + ... + 6837186.

It is an arithmetic number, because the mean of its divisors is an integer number (7612176852).

Almost surely, 2^221544342320 is an apocalyptic number.

221544342320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221544342320 is an abundant number, since it is smaller than the sum of its proper divisors (387429805840).

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

221544342320 is a wasteful number, since it uses less digits than its factorization.

221544342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13641942 (or 13641936 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 221544342320 its reverse (23243445122), we get a palindrome (244787787442).

The spelling of 221544342320 in words is "two hundred twenty-one billion, five hundred forty-four million, three hundred forty-two thousand, three hundred twenty".