33225146208 has 144 divisors (see below), whose sum is σ = 96325866000. Its totient is φ = 10860272640.

The previous prime is 33225146191. The next prime is 33225146219. The reversal of 33225146208 is 80264152233.

33225146208 is a `hidden beast` number, since 3 + 3 + 2 + 25 + 1 + 4 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33225146208² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6128523 + ... + 6133941.

It is an arithmetic number, because the mean of its divisors is an integer number (668929625).

Almost surely, 2^33225146208 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 33225146208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162933000).

33225146208 is an abundant number, since it is smaller than the sum of its proper divisors (63100719792).

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

33225146208 is a wasteful number, since it uses less digits than its factorization.

33225146208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5845 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 33225146208 in words is "thirty-three billion, two hundred twenty-five million, one hundred forty-six thousand, two hundred eight".