4928386680009 has 27 divisors (see below), whose sum is σ = 7708637665287. Its totient is φ = 3032800061616.

The previous prime is 4928386679987. The next prime is 4928386680017. The reversal of 4928386680009 is 9000866838294.

The square root of 4928386680009 is 2219997.

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

4928386680009 is a `hidden beast` number, since 492 + 8 + 3 + 8 + 66 + 80 + 0 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 729051284025 + 4199335395984 = 853845^2 + 2049228^2 .

It is not a de Polignac number, because 4928386680009 - 2⁵ = 4928386679977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4928386680029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 86551422 + ... + 86608344.

Almost surely, 2^{4928386680009} is an apocalyptic number.

4928386680009 is the 2219997-th square number.

4928386680009 is the 1109999-th centered octagonal number.

It is an amenable number.

4928386680009 is a deficient number, since it is larger than the sum of its proper divisors (2780250985278).

4928386680009 is an frugal number, since it uses more digits than its factorization.

4928386680009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113878 (or 56939 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 4928386680009 in words is "four trillion, nine hundred twenty-eight billion, three hundred eighty-six million, six hundred eighty thousand, nine".