486508589238672 has 960 divisors, whose sum is σ = 1986383103344640. Its totient is φ = 106941449318400.

The previous prime is 486508589238667. The next prime is 486508589238697. The reversal of 486508589238672 is 276832985805684.

486508589238672 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 0 + 8 + 589 + 23 + 8 + 6 + 7 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 486508589238591 and 486508589238600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82035658 + ... + 87765974.

It is an arithmetic number, because the mean of its divisors is an integer number (2069149065984).

Almost surely, 2^{486508589238672} is an apocalyptic number.

486508589238672 is a gapful number since it is divisible by the number (42) 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 486508589238672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993191551672320).

486508589238672 is an abundant number, since it is smaller than the sum of its proper divisors (1499874514105968).

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

486508589238672 is a wasteful number, since it uses less digits than its factorization.

486508589238672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5730412 (or 5730403 counting only the distinct ones).

The product of its (nonzero) digits is 11147673600, while the sum is 81.

The spelling of 486508589238672 in words is "four hundred eighty-six trillion, five hundred eight billion, five hundred eighty-nine million, two hundred thirty-eight thousand, six hundred seventy-two".