33484896768 has 80 divisors (see below), whose sum is σ = 90428158656. Its totient is φ = 11008696320.

The previous prime is 33484896751. The next prime is 33484896779. The reversal of 33484896768 is 86769848433.

It is a super-2 number, since 2×33484896768² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33484896699 and 33484896708.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 37188 + ... + 261443.

Almost surely, 2^33484896768 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 33484896768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45214079328).

33484896768 is an abundant number, since it is smaller than the sum of its proper divisors (56943261888).

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

33484896768 is an equidigital number, since it uses as much as digits as its factorization.

33484896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298725 (or 298709 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 66.

The spelling of 33484896768 in words is "thirty-three billion, four hundred eighty-four million, eight hundred ninety-six thousand, seven hundred sixty-eight".