33106045648 has 80 divisors (see below), whose sum is σ = 70937615952. Its totient is φ = 14870016000.

The previous prime is 33106045639. The next prime is 33106045717. The reversal of 33106045648 is 84654060133.

It can be written as a sum of positive squares in 8 ways, for example, as 10222827664 + 22883217984 = 101108^2 + 151272^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 33106045648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3585678 + ... + 3594898.

Almost surely, 2^33106045648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33106045648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35468807976).

33106045648 is an abundant number, since it is smaller than the sum of its proper divisors (37831570304).

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

33106045648 is a wasteful number, since it uses less digits than its factorization.

33106045648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9704 (or 9698 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 33106045648 in words is "thirty-three billion, one hundred six million, forty-five thousand, six hundred forty-eight".