481824685575 has 96 divisors (see below), whose sum is σ = 890589427200. Its totient is φ = 255392904960.

The previous prime is 481824685549. The next prime is 481824685619. The reversal of 481824685575 is 575586428184.

481824685575 is a `hidden beast` number, since 4 + 8 + 18 + 2 + 4 + 68 + 557 + 5 = 666.

It is not a de Polignac number, because 481824685575 - 2⁵ = 481824685543 is a prime.

It is a super-2 number, since 2×481824685575² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81125956 + ... + 81131894.

It is an arithmetic number, because the mean of its divisors is an integer number (9276973200).

Almost surely, 2^481824685575 is an apocalyptic number.

481824685575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

481824685575 is a deficient number, since it is larger than the sum of its proper divisors (408764741625).

481824685575 is a wasteful number, since it uses less digits than its factorization.

481824685575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678 (or 6667 counting only the distinct ones).

The product of its digits is 86016000, while the sum is 63.

The spelling of 481824685575 in words is "four hundred eighty-one billion, eight hundred twenty-four million, six hundred eighty-five thousand, five hundred seventy-five".