221314451232 has 192 divisors, whose sum is σ = 669139107840. Its totient is φ = 62739876864.

The previous prime is 221314451219. The next prime is 221314451233. The reversal of 221314451232 is 232154413122.

It is a happy number.

221314451232 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 221314451232.

It is not an unprimeable number, because it can be changed into a prime (221314451233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47055793 + ... + 47060495.

It is an arithmetic number, because the mean of its divisors is an integer number (3485099520).

Almost surely, 2^221314451232 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 221314451232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334569553920).

221314451232 is an abundant number, since it is smaller than the sum of its proper divisors (447824656608).

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

221314451232 is a wasteful number, since it uses less digits than its factorization.

221314451232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5247 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

Adding to 221314451232 its reverse (232154413122), we get a palindrome (453468864354).

The spelling of 221314451232 in words is "two hundred twenty-one billion, three hundred fourteen million, four hundred fifty-one thousand, two hundred thirty-two".