23064193161 has 81 divisors (see below), whose sum is σ = 36500055501. Its totient is φ = 14032695600.

The previous prime is 23064193153. The next prime is 23064193169. The reversal of 23064193161 is 16139146032.

The square root of 23064193161 is 151869.

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

23064193161 is a `hidden beast` number, since 2 + 3 + 0 + 641 + 9 + 3 + 1 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (23064193153) and next prime (23064193169).

It is not a de Polignac number, because 23064193161 - 2³ = 23064193153 is a prime.

It is a super-3 number, since 3×23064193161³ (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (23064193169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 324847756 + ... + 324847826.

Almost surely, 2^23064193161 is an apocalyptic number.

23064193161 is the 151869-th square number.

23064193161 is the 75935-th centered octagonal number.

It is an amenable number.

23064193161 is a deficient number, since it is larger than the sum of its proper divisors (13435862340).

23064193161 is an equidigital number, since it uses as much as digits as its factorization.

23064193161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Multiplying 23064193161 by its sum of digits (36), we get a square (830310953796 = 911214²).

It can be divided in two parts, 23064 and 193161, that added together give a square (216225 = 465²).

The spelling of 23064193161 in words is "twenty-three billion, sixty-four million, one hundred ninety-three thousand, one hundred sixty-one".