3332333142132 has 192 divisors, whose sum is σ = 8449313160960. Its totient is φ = 1018314326016.

The previous prime is 3332333142119. The next prime is 3332333142139. The reversal of 3332333142132 is 2312413332333.

It is a super-3 number, since 3×3332333142132³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 3332333142093 and 3332333142102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332333142139) 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, 651734808 + ... + 651739920.

It is an arithmetic number, because the mean of its divisors is an integer number (44006839380).

Almost surely, 2^{3332333142132} 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 3332333142132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224656580480).

3332333142132 is an abundant number, since it is smaller than the sum of its proper divisors (5116980018828).

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

3332333142132 is a wasteful number, since it uses less digits than its factorization.

3332333142132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5680 counting only the distinct ones).

The product of its digits is 69984, while the sum is 33.

Adding to 3332333142132 its reverse (2312413332333), we get a palindrome (5644746474465).

The spelling of 3332333142132 in words is "three trillion, three hundred thirty-two billion, three hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-two".