488487768561 has 27 divisors (see below), whose sum is σ = 764087607777. Its totient is φ = 300591083520.

The previous prime is 488487768553. The next prime is 488487768599. The reversal of 488487768561 is 165867784884.

The square root of 488487768561 is 698919.

It is a perfect power (a square), and thus also a powerful number.

488487768561 is a `hidden beast` number, since 4 + 8 + 8 + 487 + 7 + 6 + 85 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 371630448225 + 116857320336 = 609615^2 + 341844^2 .

It is not a de Polignac number, because 488487768561 - 2³ = 488487768553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 488487768561.

It is not an unprimeable number, because it can be changed into a prime (488487768521) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27248881 + ... + 27266801.

Almost surely, 2^488487768561 is an apocalyptic number.

488487768561 is the 698919-th square number.

488487768561 is the 349460-th centered octagonal number.

It is an amenable number.

488487768561 is a deficient number, since it is larger than the sum of its proper divisors (275599839216).

488487768561 is an frugal number, since it uses more digits than its factorization.

488487768561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35874 (or 17937 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 488487768561 in words is "four hundred eighty-eight billion, four hundred eighty-seven million, seven hundred sixty-eight thousand, five hundred sixty-one".