4588648104769 has 9 divisors (see below), whose sum is σ = 4667868566337. Its totient is φ = 4510750165524.

The previous prime is 4588648104763. The next prime is 4588648104779. The reversal of 4588648104769 is 9674018468854.

The square root of 4588648104769 is 2142113.

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

It is not a de Polignac number, because 4588648104769 - 2²³ = 4588639716161 is a prime.

It is a super-2 number, since 2×4588648104769² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4588648104698 and 4588648104707.

It is not an unprimeable number, because it can be changed into a prime (4588648104763) 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 8 ways as a sum of consecutive naturals, for example, 126366514 + ... + 126402820.

Almost surely, 2^{4588648104769} is an apocalyptic number.

4588648104769 is the 2142113-rd square number.

4588648104769 is the 1071057-th centered octagonal number.

It is an amenable number.

4588648104769 is a deficient number, since it is larger than the sum of its proper divisors (79220461568).

4588648104769 is an frugal number, since it uses more digits than its factorization.

4588648104769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72732 (or 36366 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 70.

The spelling of 4588648104769 in words is "four trillion, five hundred eighty-eight billion, six hundred forty-eight million, one hundred four thousand, seven hundred sixty-nine".