33116193864 has 192 divisors, whose sum is σ = 98966999040. Its totient is φ = 9941460480.

The previous prime is 33116193841. The next prime is 33116193871. The reversal of 33116193864 is 46839161133.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7248909 + ... + 7253475.

It is an arithmetic number, because the mean of its divisors is an integer number (515453120).

Almost surely, 2^33116193864 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 33116193864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49483499520).

33116193864 is an abundant number, since it is smaller than the sum of its proper divisors (65850805176).

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

33116193864 is a wasteful number, since it uses less digits than its factorization.

33116193864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4773 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 33116193864 in words is "thirty-three billion, one hundred sixteen million, one hundred ninety-three thousand, eight hundred sixty-four".