164820128422317 has 96 divisors (see below), whose sum is σ = 240282933688320. Its totient is φ = 100435994081280.

The previous prime is 164820128422247. The next prime is 164820128422319. The reversal of 164820128422317 is 713224821028461.

It is not a de Polignac number, because 164820128422317 - 2⁷ = 164820128422189 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 164820128422317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164820128422319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3170994433 + ... + 3171046409.

It is an arithmetic number, because the mean of its divisors is an integer number (2502947225920).

Almost surely, 2^{164820128422317} is an apocalyptic number.

164820128422317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

164820128422317 is a deficient number, since it is larger than the sum of its proper divisors (75462805266003).

164820128422317 is a wasteful number, since it uses less digits than its factorization.

164820128422317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52851 (or 52834 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 164820128422317 in words is "one hundred sixty-four trillion, eight hundred twenty billion, one hundred twenty-eight million, four hundred twenty-two thousand, three hundred seventeen".