488160729225 has 81 divisors (see below), whose sum is σ = 947045792277. Its totient is φ = 240258208320.

The previous prime is 488160729181. The next prime is 488160729229. The reversal of 488160729225 is 522927061884.

The square root of 488160729225 is 698685.

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

488160729225 is a `hidden beast` number, since 4 + 8 + 8 + 1 + 607 + 2 + 9 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 125824150089 + 362336579136 = 354717^2 + 601944^2 .

It is a de Polignac number, because none of the positive numbers 2^k-488160729225 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (488160729229) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 136241784 + ... + 136245366.

Almost surely, 2^488160729225 is an apocalyptic number.

488160729225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

488160729225 is the 698685-th square number.

488160729225 is the 349343-rd centered octagonal number.

It is an amenable number.

488160729225 is a deficient number, since it is larger than the sum of its proper divisors (458885063052).

488160729225 is an equidigital number, since it uses as much as digits as its factorization.

488160729225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7208 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 488160729225 in words is "four hundred eighty-eight billion, one hundred sixty million, seven hundred twenty-nine thousand, two hundred twenty-five".