488562908064 has 960 divisors, whose sum is σ = 1795332833280. Its totient is φ = 113342423040.

The previous prime is 488562908033. The next prime is 488562908129. The reversal of 488562908064 is 460809265884.

It is a junction number, because it is equal to n+sod(n) for n = 488562907989 and 488562908007.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3846951969 + ... + 3846952095.

It is an arithmetic number, because the mean of its divisors is an integer number (1870138368).

Almost surely, 2^488562908064 is an apocalyptic number.

488562908064 is a gapful number since it is divisible by the number (44) 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 488562908064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897666416640).

488562908064 is an abundant number, since it is smaller than the sum of its proper divisors (1306769925216).

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

488562908064 is a wasteful number, since it uses less digits than its factorization.

488562908064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 60.

The spelling of 488562908064 in words is "four hundred eighty-eight billion, five hundred sixty-two million, nine hundred eight thousand, sixty-four".