33198004224 has 960 divisors, whose sum is σ = 130144734720. Its totient is φ = 8174960640.

The previous prime is 33198004223. The next prime is 33198004237. The reversal of 33198004224 is 42240089133.

It is a super-2 number, since 2×33198004224² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33198004223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293787592 + ... + 293787704.

It is an arithmetic number, because the mean of its divisors is an integer number (135567432).

Almost surely, 2^33198004224 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 33198004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65072367360).

33198004224 is an abundant number, since it is smaller than the sum of its proper divisors (96946730496).

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

33198004224 is a wasteful number, since it uses less digits than its factorization.

33198004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 33198004224 in words is "thirty-three billion, one hundred ninety-eight million, four thousand, two hundred twenty-four".