488163728424960 has 3168 divisors, whose sum is σ = 2153888004453120. Its totient is φ = 99975564361728.

The previous prime is 488163728424923. The next prime is 488163728424989. The reversal of 488163728424960 is 69424827361884.

488163728424960 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 6 + 372 + 8 + 4 + 249 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5484985712596 + ... + 5484985712684.

Almost surely, 2^{488163728424960} is an apocalyptic number.

488163728424960 is a gapful number since it is divisible by the number (40) 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 488163728424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076944002226560).

488163728424960 is an abundant number, since it is smaller than the sum of its proper divisors (1665724276028160).

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

488163728424960 is an frugal number, since it uses more digits than its factorization.

488163728424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 891813888, while the sum is 72.

The spelling of 488163728424960 in words is "four hundred eighty-eight trillion, one hundred sixty-three billion, seven hundred twenty-eight million, four hundred twenty-four thousand, nine hundred sixty".