33134212432332 has 144 divisors (see below), whose sum is σ = 91719530098560. Its totient is φ = 10002342604800.

The previous prime is 33134212432319. The next prime is 33134212432337. The reversal of 33134212432332 is 23323421243133.

33134212432332 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 4 + 212 + 432 + 3 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (33134212432337) 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, 112302019 + ... + 112596677.

It is an arithmetic number, because the mean of its divisors is an integer number (636941181240).

Almost surely, 2^{33134212432332} 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 33134212432332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45859765049280).

33134212432332 is an abundant number, since it is smaller than the sum of its proper divisors (58585317666228).

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

33134212432332 is a wasteful number, since it uses less digits than its factorization.

33134212432332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295764 (or 295759 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

Adding to 33134212432332 its reverse (23323421243133), we get a palindrome (56457633675465).

The spelling of 33134212432332 in words is "thirty-three trillion, one hundred thirty-four billion, two hundred twelve million, four hundred thirty-two thousand, three hundred thirty-two".