221605201413424 has 80 divisors (see below), whose sum is σ = 453313014681600. Its totient is φ = 104790923274240.

The previous prime is 221605201413413. The next prime is 221605201413437. The reversal of 221605201413424 is 424314102506122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8626527 + ... + 22751425.

It is an arithmetic number, because the mean of its divisors is an integer number (5666412683520).

Almost surely, 2^{221605201413424} 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 221605201413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226656507340800).

221605201413424 is an abundant number, since it is smaller than the sum of its proper divisors (231707813268176).

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

221605201413424 is a wasteful number, since it uses less digits than its factorization.

221605201413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14125658 (or 14125652 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 221605201413424 its reverse (424314102506122), we get a palindrome (645919303919546).

The spelling of 221605201413424 in words is "two hundred twenty-one trillion, six hundred five billion, two hundred one million, four hundred thirteen thousand, four hundred twenty-four".