164522023450729 has 36 divisors (see below), whose sum is σ = 203353831267020. Its totient is φ = 132690331200000.

The previous prime is 164522023450667. The next prime is 164522023450819. The reversal of 164522023450729 is 927054320225461.

It can be written as a sum of positive squares in 6 ways, for example, as 57181545175104 + 107340478275625 = 7561848^2 + 10360525^2 .

It is not a de Polignac number, because 164522023450729 - 2¹¹ = 164522023448681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164522023450529) 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 in 35 ways as a sum of consecutive naturals, for example, 55031979 + ... + 57944479.

It is an arithmetic number, because the mean of its divisors is an integer number (5648717535195).

Almost surely, 2^{164522023450729} is an apocalyptic number.

It is an amenable number.

164522023450729 is a deficient number, since it is larger than the sum of its proper divisors (38831807816291).

164522023450729 is a wasteful number, since it uses less digits than its factorization.

164522023450729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916538 (or 2916514 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 164522023450729 in words is "one hundred sixty-four trillion, five hundred twenty-two billion, twenty-three million, four hundred fifty thousand, seven hundred twenty-nine".