33133006404 has 36 divisors (see below), whose sum is σ = 84215616940. Its totient is φ = 10983314880.

The previous prime is 33133006399. The next prime is 33133006411. The reversal of 33133006404 is 40460033133.

33133006404 is a `hidden beast` number, since 3 + 3 + 13 + 3 + 0 + 0 + 640 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 256064004 + 32876942400 = 16002^2 + 181320^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33133006404² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2535919 + ... + 2548950.

Almost surely, 2^33133006404 is an apocalyptic number.

It is an amenable number.

33133006404 is an abundant number, since it is smaller than the sum of its proper divisors (51082610536).

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

33133006404 is a wasteful number, since it uses less digits than its factorization.

33133006404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085060 (or 5085055 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 33133006404 its reverse (40460033133), we get a palindrome (73593039537).

The spelling of 33133006404 in words is "thirty-three billion, one hundred thirty-three million, six thousand, four hundred four".