488481481601568 has 240 divisors, whose sum is σ = 1768135962035520. Its totient is φ = 128830280799744.

The previous prime is 488481481601563. The next prime is 488481481601623. The reversal of 488481481601568 is 865106184184884.

488481481601568 is a `hidden beast` number, since 4 + 8 + 8 + 4 + 8 + 1 + 4 + 8 + 1 + 601 + 5 + 6 + 8 = 666.

It is a super-2 number, since 2×488481481601568² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 488481481601496 and 488481481601505.

It is not an unprimeable number, because it can be changed into a prime (488481481601563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1035244138 + ... + 1035715881.

It is an arithmetic number, because the mean of its divisors is an integer number (7367233175148).

Almost surely, 2^{488481481601568} is an apocalyptic number.

488481481601568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

488481481601568 is an abundant number, since it is smaller than the sum of its proper divisors (1279654480433952).

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

488481481601568 is a wasteful number, since it uses less digits than its factorization.

488481481601568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070960061 (or 2070960044 counting only the distinct ones).

The product of its (nonzero) digits is 377487360, while the sum is 72.

The spelling of 488481481601568 in words is "four hundred eighty-eight trillion, four hundred eighty-one billion, four hundred eighty-one million, six hundred one thousand, five hundred sixty-eight".