32404320144 has 135 divisors (see below), whose sum is σ = 105542395803. Its totient is φ = 9254056896.

The previous prime is 32404320131. The next prime is 32404320161. The reversal of 32404320144 is 44102340423.

It is a happy number.

The square root of 32404320144 is 180012.

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

32404320144 is a `hidden beast` number, since 324 + 0 + 4 + 320 + 14 + 4 = 666.

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 26 ways as a sum of consecutive naturals, for example, 15119937 + ... + 15122079.

Almost surely, 2^32404320144 is an apocalyptic number.

32404320144 is the 180012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32404320144

32404320144 is an abundant number, since it is smaller than the sum of its proper divisors (73138075659).

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

32404320144 is an equidigital number, since it uses as much as digits as its factorization.

32404320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Multiplying 32404320144 by its product of nonzero digits (9216), we get a square (298638214447104 = 17281152²).

Adding to 32404320144 its reverse (44102340423), we get a palindrome (76506660567).

The spelling of 32404320144 in words is "thirty-two billion, four hundred four million, three hundred twenty thousand, one hundred forty-four".