33004114000 has 160 divisors (see below), whose sum is σ = 93756499200. Its totient is φ = 11078208000.

The previous prime is 33004113937. The next prime is 33004114021. The reversal of 33004114000 is 41140033.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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, 228301 + ... + 343699.

It is an arithmetic number, because the mean of its divisors is an integer number (585978120).

Almost surely, 2^33004114000 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 33004114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46878249600).

33004114000 is an abundant number, since it is smaller than the sum of its proper divisors (60752385200).

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

33004114000 is a wasteful number, since it uses less digits than its factorization.

33004114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115446 (or 115430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 33004114000 its reverse (41140033), we get a palindrome (33045254033).

It can be divided in two parts, 3 and 3004114000, that added together give a palindrome (3004114003).

The spelling of 33004114000 in words is "thirty-three billion, four million, one hundred fourteen thousand".