488079685129 has 9 divisors (see below), whose sum is σ = 492042539271. Its totient is φ = 484148511000.

The previous prime is 488079685111. The next prime is 488079685147. The reversal of 488079685129 is 921586970884.

The square root of 488079685129 is 698627.

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

It is an interprime number because it is at equal distance from previous prime (488079685111) and next prime (488079685147).

It can be written as a sum of positive squares in only one way, i.e., 479247444729 + 8832240400 = 692277^2 + 93980^2 .

It is not a de Polignac number, because 488079685129 - 2³⁷ = 350640731657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (488079685169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88722879 + ... + 88728379.

Almost surely, 2^488079685129 is an apocalyptic number.

488079685129 is the 698627-th square number.

488079685129 is the 349314-th centered octagonal number.

It is an amenable number.

488079685129 is a deficient number, since it is larger than the sum of its proper divisors (3962854142).

488079685129 is an frugal number, since it uses more digits than its factorization.

488079685129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11256 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 67.

The spelling of 488079685129 in words is "four hundred eighty-eight billion, seventy-nine million, six hundred eighty-five thousand, one hundred twenty-nine".