23064976365201 has 27 divisors (see below), whose sum is σ = 34041011059003. Its totient is φ = 15049046285520.

The previous prime is 23064976365169. The next prime is 23064976365239. The reversal of 23064976365201 is 10256367946032.

The square root of 23064976365201 is 4802601.

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

23064976365201 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 4 + 9 + 76 + 365 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1354313601 + 23063622051600 = 36801^2 + 4802460^2 .

It is not a de Polignac number, because 23064976365201 - 2⁵ = 23064976365169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (23064976365401) 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, 677149711 + ... + 677183771.

Almost surely, 2^{23064976365201} is an apocalyptic number.

23064976365201 is the 4802601-st square number.

23064976365201 is the 2401301-st centered octagonal number.

It is an amenable number.

23064976365201 is a deficient number, since it is larger than the sum of its proper divisors (10976034693802).

23064976365201 is an frugal number, since it uses more digits than its factorization.

23064976365201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68222 (or 34111 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 23064976365201 in words is "twenty-three trillion, sixty-four billion, nine hundred seventy-six million, three hundred sixty-five thousand, two hundred one".