488785948763904 has 864 divisors, whose sum is σ = 1603611850014720. Its totient is φ = 147258503884800.

The previous prime is 488785948763843. The next prime is 488785948763911. The reversal of 488785948763904 is 409367849587884.

488785948763904 is a `hidden beast` number, since 4 + 8 + 8 + 7 + 8 + 594 + 8 + 7 + 6 + 3 + 9 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118897090809 + ... + 118897094919.

Almost surely, 2^{488785948763904} is an apocalyptic number.

488785948763904 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 488785948763904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801805925007360).

488785948763904 is an abundant number, since it is smaller than the sum of its proper divisors (1114825901250816).

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

488785948763904 is a wasteful number, since it uses less digits than its factorization.

488785948763904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 93640458240, while the sum is 90.

The spelling of 488785948763904 in words is "four hundred eighty-eight trillion, seven hundred eighty-five billion, nine hundred forty-eight million, seven hundred sixty-three thousand, nine hundred four".