164353233336305 has 48 divisors (see below), whose sum is σ = 224191807865424. Its totient is φ = 114965424230400.

The previous prime is 164353233336301. The next prime is 164353233336317. The reversal of 164353233336305 is 503633332353461.

It can be written as a sum of positive squares in 8 ways, for example, as 32492382643681 + 131860850692624 = 5700209^2 + 11483068^2 .

It is not a de Polignac number, because 164353233336305 - 2² = 164353233336301 is a prime.

It is a super-2 number, since 2×164353233336305² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164353233336301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177332105 + ... + 178256505.

It is an arithmetic number, because the mean of its divisors is an integer number (4670662663863).

Almost surely, 2^{164353233336305} is an apocalyptic number.

It is an amenable number.

164353233336305 is a deficient number, since it is larger than the sum of its proper divisors (59838574529119).

164353233336305 is a wasteful number, since it uses less digits than its factorization.

164353233336305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932034 (or 932015 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 50.

Adding to 164353233336305 its reverse (503633332353461), we get a palindrome (667986565689766).

The spelling of 164353233336305 in words is "one hundred sixty-four trillion, three hundred fifty-three billion, two hundred thirty-three million, three hundred thirty-six thousand, three hundred five".