432256581632 has 72 divisors (see below), whose sum is σ = 868338316755. Its totient is φ = 215176183808.

The previous prime is 432256581611. The next prime is 432256581641. The reversal of 432256581632 is 236185652234.

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.

It can be written as a sum of positive squares in only one way, i.e., 216128290816 + 216128290816 = 464896^2 + 464896^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=464896.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1904213903 + ... + 1904214129.

Almost surely, 2^432256581632 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 432256581632

432256581632 is an abundant number, since it is smaller than the sum of its proper divisors (436081735123).

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

432256581632 is an frugal number, since it uses more digits than its factorization.

432256581632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 229 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 47.

The spelling of 432256581632 in words is "four hundred thirty-two billion, two hundred fifty-six million, five hundred eighty-one thousand, six hundred thirty-two".