221142134142224 has 80 divisors (see below), whose sum is σ = 474940490851200. Its totient is φ = 99277882564608.

The previous prime is 221142134142221. The next prime is 221142134142253. The reversal of 221142134142224 is 422241431241122.

It is not an unprimeable number, because it can be changed into a prime (221142134142221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 144319889 + ... + 145844144.

It is an arithmetic number, because the mean of its divisors is an integer number (5936756135640).

Almost surely, 2^{221142134142224} is an apocalyptic number.

It is an amenable number.

221142134142224 is an abundant number, since it is smaller than the sum of its proper divisors (253798356708976).

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

221142134142224 is a wasteful number, since it uses less digits than its factorization.

221142134142224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290164192 (or 290164186 counting only the distinct ones).

The product of its digits is 49152, while the sum is 35.

Adding to 221142134142224 its reverse (422241431241122), we get a palindrome (643383565383346).

The spelling of 221142134142224 in words is "two hundred twenty-one trillion, one hundred forty-two billion, one hundred thirty-four million, one hundred forty-two thousand, two hundred twenty-four".