488816319744 has 108 divisors (see below), whose sum is σ = 1409584308132. Its totient is φ = 162914918400.

The previous prime is 488816319743. The next prime is 488816319757. The reversal of 488816319744 is 447913618884.

488816319744 is a `hidden beast` number, since 488 + 8 + 1 + 63 + 1 + 97 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214776633600 + 274039686144 = 463440^2 + 523488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488816319743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23354404 + ... + 23375324.

Almost surely, 2^488816319744 is an apocalyptic number.

It is an amenable number.

488816319744 is an abundant number, since it is smaller than the sum of its proper divisors (920767988388).

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

488816319744 is a wasteful number, since it uses less digits than its factorization.

488816319744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31084 (or 31067 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 488816319744 in words is "four hundred eighty-eight billion, eight hundred sixteen million, three hundred nineteen thousand, seven hundred forty-four".