486291955968 has 864 divisors, whose sum is σ = 1896657033600. Its totient is φ = 121481773056.

The previous prime is 486291955951. The next prime is 486291955993. The reversal of 486291955968 is 869559192684.

486291955968 is a `hidden beast` number, since 4 + 8 + 6 + 2 + 9 + 1 + 9 + 559 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 486291955896 and 486291955905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83653030 + ... + 83658842.

It is an arithmetic number, because the mean of its divisors is an integer number (2195204900).

Almost surely, 2^486291955968 is an apocalyptic number.

486291955968 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 486291955968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948328516800).

486291955968 is an abundant number, since it is smaller than the sum of its proper divisors (1410365077632).

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

486291955968 is a wasteful number, since it uses less digits than its factorization.

486291955968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5857 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 72.

The spelling of 486291955968 in words is "four hundred eighty-six billion, two hundred ninety-one million, nine hundred fifty-five thousand, nine hundred sixty-eight".