33009088112 has 480 divisors, whose sum is σ = 92382944256. Its totient is φ = 11070259200.

The previous prime is 33009088111. The next prime is 33009088121. The reversal of 33009088112 is 21188090033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33009088111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 292115768 + ... + 292115880.

Almost surely, 2^33009088112 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 33009088112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46191472128).

33009088112 is an abundant number, since it is smaller than the sum of its proper divisors (59373856144).

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

33009088112 is a wasteful number, since it uses less digits than its factorization.

33009088112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 33009088112 in words is "thirty-three billion, nine million, eighty-eight thousand, one hundred twelve".