164908309104 has 240 divisors, whose sum is σ = 600687267840. Its totient is φ = 42833266560.

The previous prime is 164908309087. The next prime is 164908309127. The reversal of 164908309104 is 401903809461.

It is a self number, because there is not a number n which added to its sum of digits gives 164908309104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121264 + ... + 586959.

It is an arithmetic number, because the mean of its divisors is an integer number (2502863616).

Almost surely, 2^164908309104 is an apocalyptic number.

164908309104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164908309104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300343633920).

164908309104 is an abundant number, since it is smaller than the sum of its proper divisors (435778958736).

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

164908309104 is a wasteful number, since it uses less digits than its factorization.

164908309104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708265 (or 708246 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 164908309104 in words is "one hundred sixty-four billion, nine hundred eight million, three hundred nine thousand, one hundred four".