33052212648 has 896 divisors, whose sum is σ = 123395328000. Its totient is φ = 8230118400.

The previous prime is 33052212637. The next prime is 33052212653. The reversal of 33052212648 is 84621225033.

33052212648 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 2 + 2 + 1 + 2 + 648 = 666.

It is a super-2 number, since 2×33052212648² (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 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 223 ways as a sum of consecutive naturals, for example, 806151508 + ... + 806151548.

It is an arithmetic number, because the mean of its divisors is an integer number (137718000).

Almost surely, 2^33052212648 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 33052212648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61697664000).

33052212648 is an abundant number, since it is smaller than the sum of its proper divisors (90343115352).

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

33052212648 is a wasteful number, since it uses less digits than its factorization.

33052212648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

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

The spelling of 33052212648 in words is "thirty-three billion, fifty-two million, two hundred twelve thousand, six hundred forty-eight".