33240818352 has 240 divisors, whose sum is σ = 108631484640. Its totient is φ = 8696733696.

The previous prime is 33240818311. The next prime is 33240818417. The reversal of 33240818352 is 25381804233.

It is a super-2 number, since 2×33240818352² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33240818352.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1468174 + ... + 1490642.

It is an arithmetic number, because the mean of its divisors is an integer number (452631186).

Almost surely, 2^33240818352 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 33240818352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54315742320).

33240818352 is an abundant number, since it is smaller than the sum of its proper divisors (75390666288).

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

33240818352 is a wasteful number, since it uses less digits than its factorization.

33240818352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22548 (or 22535 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 33240818352 in words is "thirty-three billion, two hundred forty million, eight hundred eighteen thousand, three hundred fifty-two".