5789336458816 has 49 divisors (see below), whose sum is σ = 11662278392059. Its totient is φ = 2851464225984.

The previous prime is 5789336458723. The next prime is 5789336458819. The reversal of 5789336458816 is 6188546339875.

The square root of 5789336458816 is 2406104.

The cubic root of 5789336458816 is 17956.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5789336458819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 86408006815 + ... + 86408006881.

Almost surely, 2^{5789336458816} is an apocalyptic number.

5789336458816 is the 2406104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5789336458816

5789336458816 is an abundant number, since it is smaller than the sum of its proper divisors (5872941933243).

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

5789336458816 is an frugal number, since it uses more digits than its factorization.

5789336458816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 69 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 73.

The spelling of 5789336458816 in words is "five trillion, seven hundred eighty-nine billion, three hundred thirty-six million, four hundred fifty-eight thousand, eight hundred sixteen".