221413422334050 has 144 divisors (see below), whose sum is σ = 599168611379520. Its totient is φ = 58616364078720.

The previous prime is 221413422334031. The next prime is 221413422334067. The reversal of 221413422334050 is 50433224314122.

221413422334050 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 13 + 4 + 2 + 233 + 405 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 221413422333996 and 221413422334014.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1888763739 + ... + 1888880961.

It is an arithmetic number, because the mean of its divisors is an integer number (4160893134580).

Almost surely, 2^{221413422334050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221413422334050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299584305689760).

221413422334050 is an abundant number, since it is smaller than the sum of its proper divisors (377755189045470).

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

221413422334050 is a wasteful number, since it uses less digits than its factorization.

221413422334050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147577 (or 147569 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 221413422334050 its reverse (50433224314122), we get a palindrome (271846646648172).

The spelling of 221413422334050 in words is "two hundred twenty-one trillion, four hundred thirteen billion, four hundred twenty-two million, three hundred thirty-four thousand, fifty".