33004133134304 has 12 divisors (see below), whose sum is σ = 64976887108224. Its totient is φ = 16502066567136.

The previous prime is 33004133134243. The next prime is 33004133134307. The reversal of 33004133134304 is 40343133140033.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 1031379160447 = 33004133134304 / (3 + 3 + 0 + 0 + 4 + 1 + 3 + 3 + 1 + 3 + 4 + 3 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33004133134307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515689580192 + ... + 515689580255.

It is an arithmetic number, because the mean of its divisors is an integer number (5414740592352).

Almost surely, 2^{33004133134304} is an apocalyptic number.

It is an amenable number.

33004133134304 is a deficient number, since it is larger than the sum of its proper divisors (31972753973920).

33004133134304 is a wasteful number, since it uses less digits than its factorization.

33004133134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031379160457 (or 1031379160449 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 33004133134304 its reverse (40343133140033), we get a palindrome (73347266274337).

The spelling of 33004133134304 in words is "thirty-three trillion, four billion, one hundred thirty-three million, one hundred thirty-four thousand, three hundred four".