33384144904 has 96 divisors (see below), whose sum is σ = 70924835520. Its totient is φ = 14713776000.

The previous prime is 33384144877. The next prime is 33384144907. The reversal of 33384144904 is 40944148333.

It is a super-2 number, since 2×33384144904² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33384144907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4188427 + ... + 4196389.

It is an arithmetic number, because the mean of its divisors is an integer number (738800370).

Almost surely, 2^33384144904 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 33384144904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35462417760).

33384144904 is an abundant number, since it is smaller than the sum of its proper divisors (37540690616).

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

33384144904 is a wasteful number, since it uses less digits than its factorization.

33384144904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8123 (or 8108 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 33384144904 in words is "thirty-three billion, three hundred eighty-four million, one hundred forty-four thousand, nine hundred four".