33022936128 has 336 divisors, whose sum is σ = 110102294400. Its totient is φ = 8658026496.

The previous prime is 33022936123. The next prime is 33022936129. The reversal of 33022936128 is 82163922033.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (33022936123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23603973 + ... + 23605371.

It is an arithmetic number, because the mean of its divisors is an integer number (327685400).

Almost surely, 2^33022936128 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 33022936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55051147200).

33022936128 is an abundant number, since it is smaller than the sum of its proper divisors (77079358272).

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

33022936128 is a wasteful number, since it uses less digits than its factorization.

33022936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 33022936128 in words is "thirty-three billion, twenty-two million, nine hundred thirty-six thousand, one hundred twenty-eight".