486712847999952 has 1280 divisors, whose sum is σ = 1754507304345600. Its totient is φ = 127659214080000.

The previous prime is 486712847999909. The next prime is 486712848000083. The reversal of 486712847999952 is 259999748217684.

486712847999952 is a `hidden beast` number, since 4 + 8 + 6 + 7 + 128 + 479 + 9 + 9 + 9 + 5 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43221098002 + ... + 43221109262.

It is an arithmetic number, because the mean of its divisors is an integer number (1370708831520).

Almost surely, 2^{486712847999952} is an apocalyptic number.

486712847999952 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 486712847999952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877253652172800).

486712847999952 is an abundant number, since it is smaller than the sum of its proper divisors (1267794456345648).

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

486712847999952 is a wasteful number, since it uses less digits than its factorization.

486712847999952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11604 (or 11580 counting only the distinct ones).

The product of its digits is 39504568320, while the sum is 90.

The spelling of 486712847999952 in words is "four hundred eighty-six trillion, seven hundred twelve billion, eight hundred forty-seven million, nine hundred ninety-nine thousand, nine hundred fifty-two".