33983540161368 has 256 divisors, whose sum is σ = 98957524823040. Its totient is φ = 9524990361600.

The previous prime is 33983540161331. The next prime is 33983540161381. The reversal of 33983540161368 is 86316104538933.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1739969763 + ... + 1739989293.

It is an arithmetic number, because the mean of its divisors is an integer number (386552831340).

Almost surely, 2^{33983540161368} 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 33983540161368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49478762411520).

33983540161368 is an abundant number, since it is smaller than the sum of its proper divisors (64973984661672).

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

33983540161368 is a wasteful number, since it uses less digits than its factorization.

33983540161368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20378 (or 20374 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 33983540161368 in words is "thirty-three trillion, nine hundred eighty-three billion, five hundred forty million, one hundred sixty-one thousand, three hundred sixty-eight".