164504303828736 has 288 divisors, whose sum is σ = 480971526013440. Its totient is φ = 49682921029632.

The previous prime is 164504303828707. The next prime is 164504303828743. The reversal of 164504303828736 is 637828303405461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 164504303828736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2615424040 + ... + 2615486936.

It is an arithmetic number, because the mean of its divisors is an integer number (1670040020880).

Almost surely, 2^{164504303828736} is an apocalyptic number.

164504303828736 is a gapful number since it is divisible by the number (16) 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 164504303828736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240485763006720).

164504303828736 is an abundant number, since it is smaller than the sum of its proper divisors (316467222184704).

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

164504303828736 is a wasteful number, since it uses less digits than its factorization.

164504303828736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70751 (or 70737 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 164504303828736 in words is "one hundred sixty-four trillion, five hundred four billion, three hundred three million, eight hundred twenty-eight thousand, seven hundred thirty-six".