5645968230528 has 320 divisors, whose sum is σ = 17253745740000. Its totient is φ = 1831647375360.

The previous prime is 5645968230467. The next prime is 5645968230571. The reversal of 5645968230528 is 8250328695465.

5645968230528 is a `hidden beast` number, since 5 + 6 + 4 + 596 + 8 + 2 + 30 + 5 + 2 + 8 = 666.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 178096023 + ... + 178127721.

Almost surely, 2^{5645968230528} 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 5645968230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626872870000).

5645968230528 is an abundant number, since it is smaller than the sum of its proper divisors (11607777509472).

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

5645968230528 is a wasteful number, since it uses less digits than its factorization.

5645968230528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32185 (or 32164 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 5645968230528 in words is "five trillion, six hundred forty-five billion, nine hundred sixty-eight million, two hundred thirty thousand, five hundred twenty-eight".