4664507104009 has 9 divisors (see below), whose sum is σ = 4688496625863. Its totient is φ = 4640639739912.

The previous prime is 4664507103989. The next prime is 4664507104013. The reversal of 4664507104009 is 9004017054664.

The square root of 4664507104009 is 2159747.

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

It can be written as a sum of positive squares in only one way, i.e., 2512335951225 + 2152171152784 = 1585035^2 + 1467028^2 .

It is not a de Polignac number, because 4664507104009 - 2⁷ = 4664507103881 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4664507104009.

It is not an unprimeable number, because it can be changed into a prime (4664507114009) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 429784227 + ... + 429795079.

Almost surely, 2^{4664507104009} is an apocalyptic number.

4664507104009 is the 2159747-th square number.

4664507104009 is the 1079874-th centered octagonal number.

It is an amenable number.

4664507104009 is a deficient number, since it is larger than the sum of its proper divisors (23989521854).

4664507104009 is an frugal number, since it uses more digits than its factorization.

4664507104009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22104 (or 11052 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 4664507104009 in words is "four trillion, six hundred sixty-four billion, five hundred seven million, one hundred four thousand, nine".