486348305625 has 540 divisors, whose sum is σ = 1132346342556. Its totient is φ = 200333952000.

The previous prime is 486348305587. The next prime is 486348305627. The reversal of 486348305625 is 526503843684.

486348305625 is a `hidden beast` number, since 4 + 8 + 6 + 3 + 4 + 8 + 3 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 30 ways, for example, as 459179706384 + 27168599241 = 677628^2 + 164829^2 .

It is not a de Polignac number, because 486348305625 - 2⁶ = 486348305561 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (486348305627) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 2468773027 + ... + 2468773223.

Almost surely, 2^486348305625 is an apocalyptic number.

486348305625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

486348305625 is an abundant number, since it is smaller than the sum of its proper divisors (645998036931).

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

486348305625 is a wasteful number, since it uses less digits than its factorization.

486348305625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 486348305625 in words is "four hundred eighty-six billion, three hundred forty-eight million, three hundred five thousand, six hundred twenty-five".