5814936032928 has 192 divisors, whose sum is σ = 16733354803200. Its totient is φ = 1753484866560.

The previous prime is 5814936032921. The next prime is 5814936032953. The reversal of 5814936032928 is 8292306394185.

It is not an unprimeable number, because it can be changed into a prime (5814936032921) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 995875833 + ... + 995881671.

It is an arithmetic number, because the mean of its divisors is an integer number (87152889600).

Almost surely, 2^{5814936032928} 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 5814936032928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366677401600).

5814936032928 is an abundant number, since it is smaller than the sum of its proper divisors (10918418770272).

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

5814936032928 is a wasteful number, since it uses less digits than its factorization.

5814936032928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10315 (or 10307 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 5814936032928 in words is "five trillion, eight hundred fourteen billion, nine hundred thirty-six million, thirty-two thousand, nine hundred twenty-eight".