488110425201 has 243 divisors, whose sum is σ = 928522996011. Its totient is φ = 246282156288.

The previous prime is 488110425199. The next prime is 488110425211. The reversal of 488110425201 is 102524011884.

The square root of 488110425201 is 698649.

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

488110425201 is a `hidden beast` number, since 4 + 8 + 81 + 10 + 42 + 520 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 380016767025 + 108093658176 = 616455^2 + 328776^2 .

It is not a de Polignac number, because 488110425201 - 2¹ = 488110425199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (488110425211) 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 242 ways as a sum of consecutive naturals, for example, 4738936116 + ... + 4738936218.

Almost surely, 2^488110425201 is an apocalyptic number.

488110425201 is the 698649-th square number.

488110425201 is the 349325-th centered octagonal number.

It is an amenable number.

488110425201 is a deficient number, since it is larger than the sum of its proper divisors (440412570810).

488110425201 is a wasteful number, since it uses less digits than its factorization.

488110425201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Multiplying 488110425201 by its sum of digits (36), we get a square (17571975307236 = 4191894²).

The spelling of 488110425201 in words is "four hundred eighty-eight billion, one hundred ten million, four hundred twenty-five thousand, two hundred one".