33122797344 has 576 divisors, whose sum is σ = 122684647680. Its totient is φ = 8723925504.

The previous prime is 33122797333. The next prime is 33122797349. The reversal of 33122797344 is 44379722133.

33122797344 is a `hidden beast` number, since 3 + 31 + 2 + 279 + 7 + 344 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 33122797344.

It is not an unprimeable number, because it can be changed into a prime (33122797349) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 44579437 + ... + 44580179.

It is an arithmetic number, because the mean of its divisors is an integer number (212994180).

Almost surely, 2^33122797344 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 33122797344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61342323840).

33122797344 is an abundant number, since it is smaller than the sum of its proper divisors (89561850336).

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

33122797344 is an equidigital number, since it uses as much as digits as its factorization.

33122797344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 768 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The spelling of 33122797344 in words is "thirty-three billion, one hundred twenty-two million, seven hundred ninety-seven thousand, three hundred forty-four".