33966084608 has 40 divisors (see below), whose sum is σ = 69521136300. Its totient is φ = 16568811520.

The previous prime is 33966084553. The next prime is 33966084611. The reversal of 33966084608 is 80648066933.

It can be written as a sum of positive squares in 2 ways, for example, as 22222461184 + 11743623424 = 149072^2 + 108368^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33966084608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 788033 + ... + 830016.

Almost surely, 2^33966084608 is an apocalyptic number.

It is an amenable number.

33966084608 is an abundant number, since it is smaller than the sum of its proper divisors (35555051692).

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

33966084608 is an equidigital number, since it uses as much as digits as its factorization.

33966084608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618108 (or 1618092 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 53.

The spelling of 33966084608 in words is "thirty-three billion, nine hundred sixty-six million, eighty-four thousand, six hundred eight".