33012045504 has 224 divisors, whose sum is σ = 98654250240. Its totient is φ = 10823307264.

The previous prime is 33012045497. The next prime is 33012045529. The reversal of 33012045504 is 40554021033.

33012045504 is a `hidden beast` number, since 3 + 30 + 120 + 4 + 5 + 504 = 666.

It is a super-2 number, since 2×33012045504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48333547 + ... + 48334229.

It is an arithmetic number, because the mean of its divisors is an integer number (440420760).

Almost surely, 2^33012045504 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 33012045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49327125120).

33012045504 is an abundant number, since it is smaller than the sum of its proper divisors (65642204736).

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

33012045504 is a wasteful number, since it uses less digits than its factorization.

33012045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 33012045504 its reverse (40554021033), we get a palindrome (73566066537).

The spelling of 33012045504 in words is "thirty-three billion, twelve million, forty-five thousand, five hundred four".