33142144304332 has 48 divisors (see below), whose sum is σ = 68944800798720. Its totient is φ = 13640661590400.

The previous prime is 33142144304299. The next prime is 33142144304333. The reversal of 33142144304332 is 23340344124133.

It is a junction number, because it is equal to n+sod(n) for n = 33142144304291 and 33142144304300.

It is not an unprimeable number, because it can be changed into a prime (33142144304333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145619857 + ... + 145847272.

It is an arithmetic number, because the mean of its divisors is an integer number (1436350016640).

Almost surely, 2^{33142144304332} is an apocalyptic number.

It is an amenable number.

33142144304332 is an abundant number, since it is smaller than the sum of its proper divisors (35802656494388).

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

33142144304332 is a wasteful number, since it uses less digits than its factorization.

33142144304332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291467302 (or 291467300 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 37.

Adding to 33142144304332 its reverse (23340344124133), we get a palindrome (56482488428465).

The spelling of 33142144304332 in words is "thirty-three trillion, one hundred forty-two billion, one hundred forty-four million, three hundred four thousand, three hundred thirty-two".