23146211264129 has 2 divisors, whose sum is σ = 23146211264130. Its totient is φ = 23146211264128.

The previous prime is 23146211264069. The next prime is 23146211264161. The reversal of 23146211264129 is 92146211264132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11675444794225 + 11470766469904 = 3416935^2 + 3386852^2 .

It is a cyclic number.

It is not a de Polignac number, because 23146211264129 - 2²⁴ = 23146194486913 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23146211264129.

It is not a weakly prime, because it can be changed into another prime (23146211264179) 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 as a sum of consecutive naturals, namely, 11573105632064 + 11573105632065.

It is an arithmetic number, because the mean of its divisors is an integer number (11573105632065).

Almost surely, 2^{23146211264129} is an apocalyptic number.

It is an amenable number.

23146211264129 is a deficient number, since it is larger than the sum of its proper divisors (1).

23146211264129 is an equidigital number, since it uses as much as digits as its factorization.

23146211264129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 44.

The spelling of 23146211264129 in words is "twenty-three trillion, one hundred forty-six billion, two hundred eleven million, two hundred sixty-four thousand, one hundred twenty-nine".