164506675757 has 2 divisors, whose sum is σ = 164506675758. Its totient is φ = 164506675756.

The previous prime is 164506675747. The next prime is 164506675799. The reversal of 164506675757 is 757576605461.

164506675757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 138465107881 + 26041567876 = 372109^2 + 161374^2 .

It is a cyclic number.

It is not a de Polignac number, because 164506675757 - 2⁴ = 164506675741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 164506675696 and 164506675705.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164506675747) 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, 82253337878 + 82253337879.

It is an arithmetic number, because the mean of its divisors is an integer number (82253337879).

Almost surely, 2^164506675757 is an apocalyptic number.

It is an amenable number.

164506675757 is a deficient number, since it is larger than the sum of its proper divisors (1).

164506675757 is an equidigital number, since it uses as much as digits as its factorization.

164506675757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044000, while the sum is 59.

The spelling of 164506675757 in words is "one hundred sixty-four billion, five hundred six million, six hundred seventy-five thousand, seven hundred fifty-seven".