221250841632 has 90 divisors (see below), whose sum is σ = 650763015903. Its totient is φ = 73742298048.

The previous prime is 221250841619. The next prime is 221250841633. The reversal of 221250841632 is 236148052122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221250841632 is a `hidden beast` number, since 2 + 2 + 12 + 5 + 0 + 8 + 4 + 1 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110625420816 + 110625420816 = 332604^2 + 332604^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (221250841633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 23942869 + ... + 23952107.

Almost surely, 2^221250841632 is an apocalyptic number.

It is an amenable number.

221250841632 is an abundant number, since it is smaller than the sum of its proper divisors (429512174271).

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

221250841632 is an frugal number, since it uses more digits than its factorization.

221250841632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18500 (or 9244 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 221250841632 its reverse (236148052122), we get a palindrome (457398893754).

The spelling of 221250841632 in words is "two hundred twenty-one billion, two hundred fifty million, eight hundred forty-one thousand, six hundred thirty-two".