164410346007113 has 2 divisors, whose sum is σ = 164410346007114. Its totient is φ = 164410346007112.

The previous prime is 164410346007043. The next prime is 164410346007137. The reversal of 164410346007113 is 311700643014461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160557966295609 + 3852379711504 = 12671147^2 + 1962748^2 .

It is a cyclic number.

It is not a de Polignac number, because 164410346007113 - 2¹⁶ = 164410345941577 is a prime.

It is a super-3 number, since 3×164410346007113³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164410346007143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82205173003556 + 82205173003557.

It is an arithmetic number, because the mean of its divisors is an integer number (82205173003557).

Almost surely, 2^{164410346007113} is an apocalyptic number.

It is an amenable number.

164410346007113 is a deficient number, since it is larger than the sum of its proper divisors (1).

164410346007113 is an equidigital number, since it uses as much as digits as its factorization.

164410346007113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 145152, while the sum is 41.

The spelling of 164410346007113 in words is "one hundred sixty-four trillion, four hundred ten billion, three hundred forty-six million, seven thousand, one hundred thirteen".