712311328585728 has 1152 divisors, whose sum is σ = 2222833029580800. Its totient is φ = 219304997683200.

The previous prime is 712311328585723. The next prime is 712311328585781. The reversal of 712311328585728 is 827585823113217.

712311328585728 is a `hidden beast` number, since 7 + 1 + 2 + 3 + 1 + 1 + 3 + 2 + 8 + 58 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712311328585723) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 829233210963 + ... + 829233211821.

It is an arithmetic number, because the mean of its divisors is an integer number (1929542560400).

Almost surely, 2^{712311328585728} 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 712311328585728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111416514790400).

712311328585728 is an abundant number, since it is smaller than the sum of its proper divisors (1510521700995072).

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

712311328585728 is a wasteful number, since it uses less digits than its factorization.

712311328585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1636 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 63.

The spelling of 712311328585728 in words is "seven hundred twelve trillion, three hundred eleven billion, three hundred twenty-eight million, five hundred eighty-five thousand, seven hundred twenty-eight".