32442502172224 has 63 divisors (see below), whose sum is σ = 66677289716401. Its totient is φ = 15661259667200.

The previous prime is 32442502172209. The next prime is 32442502172273. The reversal of 32442502172224 is 42227120524423.

The square root of 32442502172224 is 5695832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17012061186624 + 15430440985600 = 4124568^2 + 3928160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1321420749 + ... + 1321445299.

Almost surely, 2^{32442502172224} is an apocalyptic number.

32442502172224 is the 5695832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32442502172224

32442502172224 is an abundant number, since it is smaller than the sum of its proper divisors (34234787544177).

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

32442502172224 is an frugal number, since it uses more digits than its factorization.

32442502172224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49172 (or 24582 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 40.

Adding to 32442502172224 its reverse (42227120524423), we get a palindrome (74669622696647).

The spelling of 32442502172224 in words is "thirty-two trillion, four hundred forty-two billion, five hundred two million, one hundred seventy-two thousand, two hundred twenty-four".