33123704064 has 144 divisors (see below), whose sum is σ = 96290256384. Its totient is φ = 10025113600.

The previous prime is 33123703931. The next prime is 33123704069. The reversal of 33123704064 is 46040732133.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33123704069) 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 15 ways as a sum of consecutive naturals, for example, 8707987 + ... + 8711789.

It is an arithmetic number, because the mean of its divisors is an integer number (668682336).

Almost surely, 2^33123704064 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 33123704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48145128192).

33123704064 is an abundant number, since it is smaller than the sum of its proper divisors (63166552320).

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

33123704064 is a wasteful number, since it uses less digits than its factorization.

33123704064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4850 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 33.

The spelling of 33123704064 in words is "thirty-three billion, one hundred twenty-three million, seven hundred four thousand, sixty-four".