221300323413424 has 160 divisors (see below), whose sum is σ = 455459651716608. Its totient is φ = 103952808960000.

The previous prime is 221300323413383. The next prime is 221300323413437. The reversal of 221300323413424 is 424314323003122.

It is a self number, because there is not a number n which added to its sum of digits gives 221300323413424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16364729127 + ... + 16364742649.

Almost surely, 2^{221300323413424} 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 221300323413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227729825858304).

221300323413424 is an abundant number, since it is smaller than the sum of its proper divisors (234159328303184).

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

221300323413424 is a wasteful number, since it uses less digits than its factorization.

221300323413424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17147 (or 17141 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 221300323413424 its reverse (424314323003122), we get a palindrome (645614646416546).

The spelling of 221300323413424 in words is "two hundred twenty-one trillion, three hundred billion, three hundred twenty-three million, four hundred thirteen thousand, four hundred twenty-four".