33968448610944 has 128 divisors (see below), whose sum is σ = 90821591340480. Its totient is φ = 11248584130560.

The previous prime is 33968448610883. The next prime is 33968448610949. The reversal of 33968448610944 is 44901684486933.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×33968448610944² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33968448610949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50577499 + ... + 51244709.

Almost surely, 2^{33968448610944} 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 33968448610944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45410795670240).

33968448610944 is an abundant number, since it is smaller than the sum of its proper divisors (56853142729536).

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

33968448610944 is a wasteful number, since it uses less digits than its factorization.

33968448610944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668098 (or 668086 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 69.

The spelling of 33968448610944 in words is "thirty-three trillion, nine hundred sixty-eight billion, four hundred forty-eight million, six hundred ten thousand, nine hundred forty-four".