485745727547584 has 448 divisors, whose sum is σ = 1174711099392000. Its totient is φ = 198972155289600.

The previous prime is 485745727547557. The next prime is 485745727547617.

485745727547584 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 485745727547498 and 485745727547507.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 60020473842 + ... + 60020481934.

Almost surely, 2^{485745727547584} 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 485745727547584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587355549696000).

485745727547584 is an abundant number, since it is smaller than the sum of its proper divisors (688965371844416).

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

485745727547584 is an equidigital number, since it uses as much as digits as its factorization.

485745727547584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9213 counting only the distinct ones).

The product of its digits is 49172480000, while the sum is 82.

The spelling of 485745727547584 in words is "four hundred eighty-five trillion, seven hundred forty-five billion, seven hundred twenty-seven million, five hundred forty-seven thousand, five hundred eighty-four".