164413235440841 has 2 divisors, whose sum is σ = 164413235440842. Its totient is φ = 164413235440840.

The previous prime is 164413235440823. The next prime is 164413235440849. The reversal of 164413235440841 is 148044532314461.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96741289561225 + 67671945879616 = 9835715^2 + 8226296^2 .

It is a cyclic number.

It is not a de Polignac number, because 164413235440841 - 2²⁶ = 164413168331977 is a prime.

It is a super-3 number, since 3×164413235440841³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164413235440841.

It is not a weakly prime, because it can be changed into another prime (164413235440849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82206617720420 + 82206617720421.

It is an arithmetic number, because the mean of its divisors is an integer number (82206617720421).

Almost surely, 2^{164413235440841} is an apocalyptic number.

It is an amenable number.

164413235440841 is a deficient number, since it is larger than the sum of its proper divisors (1).

164413235440841 is an equidigital number, since it uses as much as digits as its factorization.

164413235440841 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 164413235440841 in words is "one hundred sixty-four trillion, four hundred thirteen billion, two hundred thirty-five million, four hundred forty thousand, eight hundred forty-one".