164309364729 has 32 divisors (see below), whose sum is σ = 258797410560. Its totient is φ = 102800041344.

The previous prime is 164309364679. The next prime is 164309364743. The reversal of 164309364729 is 927463903461.

It is a happy number.

164309364729 is a `hidden beast` number, since 164 + 3 + 0 + 9 + 3 + 6 + 472 + 9 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-164309364729 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164309364029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2463204 + ... + 2529029.

It is an arithmetic number, because the mean of its divisors is an integer number (8087419080).

Almost surely, 2^164309364729 is an apocalyptic number.

It is an amenable number.

164309364729 is a deficient number, since it is larger than the sum of its proper divisors (94488045831).

164309364729 is a wasteful number, since it uses less digits than its factorization.

164309364729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992318 (or 4992312 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 164309364729 in words is "one hundred sixty-four billion, three hundred nine million, three hundred sixty-four thousand, seven hundred twenty-nine".