32848336105728 has 576 divisors, whose sum is σ = 109788411156480. Its totient is φ = 8574463180800.

The previous prime is 32848336105699. The next prime is 32848336105801. The reversal of 32848336105728 is 82750163384823.

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 63 ways as a sum of consecutive naturals, for example, 103405443 + ... + 103722621.

It is an arithmetic number, because the mean of its divisors is an integer number (190604880480).

Almost surely, 2^{32848336105728} 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 32848336105728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54894205578240).

32848336105728 is an abundant number, since it is smaller than the sum of its proper divisors (76940075050752).

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

32848336105728 is a wasteful number, since it uses less digits than its factorization.

32848336105728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317286 (or 317272 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 32848336105728 in words is "thirty-two trillion, eight hundred forty-eight billion, three hundred thirty-six million, one hundred five thousand, seven hundred twenty-eight".