33204417216 has 112 divisors (see below), whose sum is σ = 90959574240. Its totient is φ = 10677452800.

The previous prime is 33204417193. The next prime is 33204417251. The reversal of 33204417216 is 61271440233.

It is a super-2 number, since 2×33204417216² (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10583200 + ... + 10586336.

Almost surely, 2^33204417216 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 33204417216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45479787120).

33204417216 is an abundant number, since it is smaller than the sum of its proper divisors (57755157024).

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

33204417216 is a wasteful number, since it uses less digits than its factorization.

33204417216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5082 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

Adding to 33204417216 its reverse (61271440233), we get a palindrome (94475857449).

The spelling of 33204417216 in words is "thirty-three billion, two hundred four million, four hundred seventeen thousand, two hundred sixteen".