33120333048 has 128 divisors (see below), whose sum is σ = 91238400000. Its totient is φ = 9935694720.

The previous prime is 33120333023. The next prime is 33120333049. The reversal of 33120333048 is 84033302133.

It is a happy number.

It is a super-3 number, since 3×33120333048³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33120333049) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22094203 + ... + 22095701.

It is an arithmetic number, because the mean of its divisors is an integer number (712800000).

Almost surely, 2^33120333048 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 33120333048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45619200000).

33120333048 is an abundant number, since it is smaller than the sum of its proper divisors (58118066952).

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

33120333048 is a wasteful number, since it uses less digits than its factorization.

33120333048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 33120333048 in words is "thirty-three billion, one hundred twenty million, three hundred thirty-three thousand, forty-eight".