485533505335584 has 384 divisors, whose sum is σ = 1342421068584960. Its totient is φ = 153503841705984.

The previous prime is 485533505335577. The next prime is 485533505335589.

485533505335584 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (485533505335589) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9038367477 + ... + 9038421195.

It is an arithmetic number, because the mean of its divisors is an integer number (3495888199440).

Almost surely, 2^{485533505335584} 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 485533505335584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671210534292480).

485533505335584 is an abundant number, since it is smaller than the sum of its proper divisors (856887563249376).

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

485533505335584 is a wasteful number, since it uses less digits than its factorization.

485533505335584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54232 (or 54224 counting only the distinct ones).

The product of its (nonzero) digits is 1296000000, while the sum is 66.

The spelling of 485533505335584 in words is "four hundred eighty-five trillion, five hundred thirty-three billion, five hundred five million, three hundred thirty-five thousand, five hundred eighty-four".