164404315577 has 2 divisors, whose sum is σ = 164404315578. Its totient is φ = 164404315576.

The previous prime is 164404315571. The next prime is 164404315609. The reversal of 164404315577 is 775513404461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 153128211856 + 11276103721 = 391316^2 + 106189^2 .

It is a cyclic number.

It is not a de Polignac number, because 164404315577 - 2¹⁶ = 164404250041 is a prime.

It is a super-3 number, since 3×164404315577³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (164404315571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82202157788 + 82202157789.

It is an arithmetic number, because the mean of its divisors is an integer number (82202157789).

Almost surely, 2^164404315577 is an apocalyptic number.

It is an amenable number.

164404315577 is a deficient number, since it is larger than the sum of its proper divisors (1).

164404315577 is an equidigital number, since it uses as much as digits as its factorization.

164404315577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 164404315577 in words is "one hundred sixty-four billion, four hundred four million, three hundred fifteen thousand, five hundred seventy-seven".