32314022112132 has 144 divisors (see below), whose sum is σ = 83816350660224. Its totient is φ = 10493808192000.

The previous prime is 32314022112083. The next prime is 32314022112133. The reversal of 32314022112132 is 23121122041323.

32314022112132 is a `hidden beast` number, since 3 + 2 + 31 + 402 + 2 + 11 + 213 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32314022112096 and 32314022112105.

It is not an unprimeable number, because it can be changed into a prime (32314022112133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102894907 + ... + 103208477.

It is an arithmetic number, because the mean of its divisors is an integer number (582057990696).

Almost surely, 2^{32314022112132} 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 32314022112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41908175330112).

32314022112132 is an abundant number, since it is smaller than the sum of its proper divisors (51502328548092).

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

32314022112132 is a wasteful number, since it uses less digits than its factorization.

32314022112132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314090 (or 314085 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 32314022112132 its reverse (23121122041323), we get a palindrome (55435144153455).

The spelling of 32314022112132 in words is "thirty-two trillion, three hundred fourteen billion, twenty-two million, one hundred twelve thousand, one hundred thirty-two".