33946312689 has 12 divisors (see below), whose sum is σ = 49082172100. Its totient is φ = 22608440064.

The previous prime is 33946312679. The next prime is 33946312717. The reversal of 33946312689 is 98621364933.

33946312689 is a `hidden beast` number, since 339 + 46 + 3 + 1 + 268 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5297365089 + 28648947600 = 72783^2 + 169260^2 .

It is not a de Polignac number, because 33946312689 - 2²³ = 33937924081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33946312619) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1860004 + ... + 1878165.

Almost surely, 2^33946312689 is an apocalyptic number.

It is an amenable number.

33946312689 is a deficient number, since it is larger than the sum of its proper divisors (15135859411).

33946312689 is a wasteful number, since it uses less digits than its factorization.

33946312689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739184 (or 3739181 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 33946312689 in words is "thirty-three billion, nine hundred forty-six million, three hundred twelve thousand, six hundred eighty-nine".