485913319584 has 384 divisors, whose sum is σ = 1620314357760. Its totient is φ = 123834547200.

The previous prime is 485913319583. The next prime is 485913319589.

It is a happy number.

485913319584 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×485913319584³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (485913319583) 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, 397311997 + ... + 397313219.

It is an arithmetic number, because the mean of its divisors is an integer number (4219568640).

Almost surely, 2^485913319584 is an apocalyptic number.

485913319584 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 485913319584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810157178880).

485913319584 is an abundant number, since it is smaller than the sum of its proper divisors (1134401038176).

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

485913319584 is a wasteful number, since it uses less digits than its factorization.

485913319584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2216 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 60.

The spelling of 485913319584 in words is "four hundred eighty-five billion, nine hundred thirteen million, three hundred nineteen thousand, five hundred eighty-four".