488976838469808 has 320 divisors, whose sum is σ = 1409705458076160. Its totient is φ = 145094364979200.

The previous prime is 488976838469797. The next prime is 488976838469891. The reversal of 488976838469808 is 808964838679884.

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 63 ways as a sum of consecutive naturals, for example, 22265679948 + ... + 22265701908.

It is an arithmetic number, because the mean of its divisors is an integer number (4405329556488).

Almost surely, 2^{488976838469808} is an apocalyptic number.

488976838469808 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 488976838469808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704852729038080).

488976838469808 is an abundant number, since it is smaller than the sum of its proper divisors (920728619606352).

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

488976838469808 is a wasteful number, since it uses less digits than its factorization.

488976838469808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33508 (or 33502 counting only the distinct ones).

The product of its (nonzero) digits is 256842399744, while the sum is 96.

The spelling of 488976838469808 in words is "four hundred eighty-eight trillion, nine hundred seventy-six billion, eight hundred thirty-eight million, four hundred sixty-nine thousand, eight hundred eight".