33916576648 has 64 divisors (see below), whose sum is σ = 68328275760. Its totient is φ = 15726821376.

The previous prime is 33916576643. The next prime is 33916576649. The reversal of 33916576648 is 84667561933.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20386699524 + 13529877124 = 142782^2 + 116318^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33916576592 and 33916576601.

It is not an unprimeable number, because it can be changed into a prime (33916576643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2652286 + ... + 2665042.

Almost surely, 2^33916576648 is an apocalyptic number.

It is an amenable number.

33916576648 is an abundant number, since it is smaller than the sum of its proper divisors (34411699112).

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

33916576648 is a wasteful number, since it uses less digits than its factorization.

33916576648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13066 (or 13062 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 58.

The spelling of 33916576648 in words is "thirty-three billion, nine hundred sixteen million, five hundred seventy-six thousand, six hundred forty-eight".