10204306164009 has 6 divisors (see below), whose sum is σ = 14739553348026. Its totient is φ = 6802870776000.

The previous prime is 10204306164007. The next prime is 10204306164061. The reversal of 10204306164009 is 90046160340201.

10204306164009 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 4 + 3 + 0 + 6 + 1 + 640 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7404640995609 + 2799665168400 = 2721147^2 + 1673220^2 .

It is not a de Polignac number, because 10204306164009 - 2¹ = 10204306164007 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10204306164007) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 566905897992 + ... + 566905898009.

It is an arithmetic number, because the mean of its divisors is an integer number (2456592224671).

Almost surely, 2^{10204306164009} is an apocalyptic number.

It is an amenable number.

10204306164009 is a deficient number, since it is larger than the sum of its proper divisors (4535247184017).

10204306164009 is a wasteful number, since it uses less digits than its factorization.

10204306164009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133811796007 (or 1133811796004 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10204306164009 in words is "ten trillion, two hundred four billion, three hundred six million, one hundred sixty-four thousand, nine".