32332322134000 has 320 divisors, whose sum is σ = 95126631005952. Its totient is φ = 10375630848000.

The previous prime is 32332322133971. The next prime is 32332322134009. The reversal of 32332322134000 is 43122323323.

32332322134000 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 32332322134000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32332322134009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42702724 + ... + 43453276.

Almost surely, 2^{32332322134000} 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 32332322134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47563315502976).

32332322134000 is an abundant number, since it is smaller than the sum of its proper divisors (62794308871952).

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

32332322134000 is a wasteful number, since it uses less digits than its factorization.

32332322134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750781 (or 750765 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 32332322134000 its reverse (43122323323), we get a palindrome (32375444457323).

The spelling of 32332322134000 in words is "thirty-two trillion, three hundred thirty-two billion, three hundred twenty-two million, one hundred thirty-four thousand".