221242145531204 has 192 divisors, whose sum is σ = 478491876495360. Its totient is φ = 87412826350080.

The previous prime is 221242145531203. The next prime is 221242145531221. The reversal of 221242145531204 is 402135541242122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221242145531203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54939691439 + ... + 54939695465.

It is an arithmetic number, because the mean of its divisors is an integer number (2492145190080).

Almost surely, 2^{221242145531204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221242145531204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239245938247680).

221242145531204 is an abundant number, since it is smaller than the sum of its proper divisors (257249730964156).

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

221242145531204 is a wasteful number, since it uses less digits than its factorization.

221242145531204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578 (or 8576 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 38.

Adding to 221242145531204 its reverse (402135541242122), we get a palindrome (623377686773326).

The spelling of 221242145531204 in words is "two hundred twenty-one trillion, two hundred forty-two billion, one hundred forty-five million, five hundred thirty-one thousand, two hundred four".