221442123264 has 60 divisors (see below), whose sum is σ = 589984793244. Its totient is φ = 73807893504.

The previous prime is 221442123263. The next prime is 221442123319. The reversal of 221442123264 is 462321244122.

221442123264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221442123264² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221442123263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18436749 + ... + 18448755.

Almost surely, 2^221442123264 is an apocalyptic number.

221442123264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221442123264 is an abundant number, since it is smaller than the sum of its proper divisors (368542669980).

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

221442123264 is an frugal number, since it uses more digits than its factorization.

221442123264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24035 (or 12012 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

Adding to 221442123264 its reverse (462321244122), we get a palindrome (683763367386).

The spelling of 221442123264 in words is "two hundred twenty-one billion, four hundred forty-two million, one hundred twenty-three thousand, two hundred sixty-four".