481045059585 has 24 divisors (see below), whose sum is σ = 834824637504. Its totient is φ = 256245611040.

The previous prime is 481045059503. The next prime is 481045059601. The reversal of 481045059585 is 585950540184.

481045059585 is a `hidden beast` number, since 4 + 8 + 1 + 0 + 4 + 5 + 0 + 59 + 585 = 666.

It is not a de Polignac number, because 481045059585 - 2²⁵ = 481011505153 is a prime.

It is a super-3 number, since 3×481045059585³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6457431 + ... + 6531500.

It is an arithmetic number, because the mean of its divisors is an integer number (34784359896).

Almost surely, 2^481045059585 is an apocalyptic number.

481045059585 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

481045059585 is a deficient number, since it is larger than the sum of its proper divisors (353779577919).

481045059585 is a wasteful number, since it uses less digits than its factorization.

481045059585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12989765 (or 12989762 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 54.

The spelling of 481045059585 in words is "four hundred eighty-one billion, forty-five million, fifty-nine thousand, five hundred eighty-five".