164329848306 has 64 divisors (see below), whose sum is σ = 393987888000. Its totient is φ = 50470475328.

The previous prime is 164329848233. The next prime is 164329848307. The reversal of 164329848306 is 603848923461.

164329848306 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 298 + 48 + 306 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (164329848307) 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, 170020 + ... + 597968.

It is an arithmetic number, because the mean of its divisors is an integer number (6156060750).

Almost surely, 2^164329848306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164329848306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196993944000).

164329848306 is an abundant number, since it is smaller than the sum of its proper divisors (229658039694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

164329848306 is a wasteful number, since it uses less digits than its factorization.

164329848306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428520 (or 428514 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 164329848306 in words is "one hundred sixty-four billion, three hundred twenty-nine million, eight hundred forty-eight thousand, three hundred six".