33000268896 has 288 divisors, whose sum is σ = 114633792000. Its totient is φ = 8790110208.

The previous prime is 33000268867. The next prime is 33000268901. The reversal of 33000268896 is 69886200033.

33000268896 is a `hidden beast` number, since 3 + 300 + 0 + 268 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 3662605 + ... + 3671603.

It is an arithmetic number, because the mean of its divisors is an integer number (398034000).

Almost surely, 2^33000268896 is an apocalyptic number.

33000268896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33000268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57316896000).

33000268896 is an abundant number, since it is smaller than the sum of its proper divisors (81633523104).

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

33000268896 is a wasteful number, since it uses less digits than its factorization.

33000268896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9146 (or 9135 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 33000268896 in words is "thirty-three billion, two hundred sixty-eight thousand, eight hundred ninety-six".