488032179649 has 45 divisors (see below), whose sum is σ = 582447090953. Its totient is φ = 408894866016.

The previous prime is 488032179611. The next prime is 488032179653. The reversal of 488032179649 is 946971230884.

The square root of 488032179649 is 698593.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41850930625 + 446181249024 = 204575^2 + 667968^2 .

It is not a de Polignac number, because 488032179649 - 2²⁵ = 487998625217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (488032179749) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1814245887 + ... + 1814246155.

Almost surely, 2^488032179649 is an apocalyptic number.

488032179649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

488032179649 is the 698593-rd square number.

488032179649 is the 349297-th centered octagonal number.

It is an amenable number.

488032179649 is a deficient number, since it is larger than the sum of its proper divisors (94414911304).

488032179649 is an frugal number, since it uses more digits than its factorization.

488032179649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

The spelling of 488032179649 in words is "four hundred eighty-eight billion, thirty-two million, one hundred seventy-nine thousand, six hundred forty-nine".