486561534627168 has 2304 divisors, whose sum is σ = 2016997494865920. Its totient is φ = 110591889408000.

The previous prime is 486561534627149. The next prime is 486561534627199. The reversal of 486561534627168 is 861726435165684.

486561534627168 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 6 + 1 + 5 + 346 + 271 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 486561534627096 and 486561534627105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29221151643 + ... + 29221168293.

It is an arithmetic number, because the mean of its divisors is an integer number (875432940480).

Almost surely, 2^{486561534627168} is an apocalyptic number.

486561534627168 is a gapful number since it is divisible by the number (48) 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 486561534627168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008498747432960).

486561534627168 is an abundant number, since it is smaller than the sum of its proper divisors (1530435960238752).

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

486561534627168 is a wasteful number, since it uses less digits than its factorization.

486561534627168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850 (or 16823 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 486561534627168 in words is "four hundred eighty-six trillion, five hundred sixty-one billion, five hundred thirty-four million, six hundred twenty-seven thousand, one hundred sixty-eight".