488344190976 has 272 divisors, whose sum is σ = 1486240283200. Its totient is φ = 158360666112.

The previous prime is 488344190959. The next prime is 488344191019. The reversal of 488344190976 is 679091443884.

488344190976 is a `hidden beast` number, since 48 + 83 + 441 + 9 + 0 + 9 + 76 = 666.

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 15 ways as a sum of consecutive naturals, for example, 65466735 + ... + 65474193.

Almost surely, 2^488344190976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488344190976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743120141600).

488344190976 is an abundant number, since it is smaller than the sum of its proper divisors (997896092224).

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

488344190976 is an frugal number, since it uses more digits than its factorization.

488344190976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7537 (or 7501 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 488344190976 in words is "four hundred eighty-eight billion, three hundred forty-four million, one hundred ninety thousand, nine hundred seventy-six".