221132541344 has 216 divisors, whose sum is σ = 524132089740. Its totient is φ = 91716218880.

The previous prime is 221132541323. The next prime is 221132541361. The reversal of 221132541344 is 443145231122.

221132541344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2494003600 + 218638537744 = 49940^2 + 467588^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 221132541344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58236854 + ... + 58240650.

Almost surely, 2^221132541344 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 221132541344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262066044870).

221132541344 is an abundant number, since it is smaller than the sum of its proper divisors (302999548396).

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

221132541344 is a wasteful number, since it uses less digits than its factorization.

221132541344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3912 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

Adding to 221132541344 its reverse (443145231122), we get a palindrome (664277772466).

The spelling of 221132541344 in words is "two hundred twenty-one billion, one hundred thirty-two million, five hundred forty-one thousand, three hundred forty-four".