32431234224 has 80 divisors (see below), whose sum is σ = 86472858240. Its totient is φ = 10468508160.

The previous prime is 32431234211. The next prime is 32431234243. The reversal of 32431234224 is 42243213423.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 32431234191 and 32431234200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104284 + ... + 275204.

It is an arithmetic number, because the mean of its divisors is an integer number (1080910728).

Almost surely, 2^32431234224 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 32431234224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43236429120).

32431234224 is an abundant number, since it is smaller than the sum of its proper divisors (54041624016).

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

32431234224 is a wasteful number, since it uses less digits than its factorization.

32431234224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171058 (or 171052 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

Adding to 32431234224 its reverse (42243213423), we get a palindrome (74674447647).

The spelling of 32431234224 in words is "thirty-two billion, four hundred thirty-one million, two hundred thirty-four thousand, two hundred twenty-four".