488101705056 has 672 divisors, whose sum is σ = 1762349702400. Its totient is φ = 129901501440.

The previous prime is 488101705027. The next prime is 488101705079. The reversal of 488101705056 is 650507101884.

488101705056 is a `hidden beast` number, since 488 + 1 + 0 + 1 + 70 + 50 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 189258775 + ... + 189261353.

It is an arithmetic number, because the mean of its divisors is an integer number (2622544200).

Almost surely, 2^488101705056 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 488101705056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881174851200).

488101705056 is an abundant number, since it is smaller than the sum of its proper divisors (1274247997344).

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

488101705056 is a wasteful number, since it uses less digits than its factorization.

488101705056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2694 (or 2671 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 488101705056 in words is "four hundred eighty-eight billion, one hundred one million, seven hundred five thousand, fifty-six".