164344847328 has 144 divisors (see below), whose sum is σ = 491535547776. Its totient is φ = 52014044160.

The previous prime is 164344847291. The next prime is 164344847339. The reversal of 164344847328 is 823748443461.

164344847328 is a `hidden beast` number, since 1 + 64 + 34 + 484 + 73 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299526 + ... + 646842.

It is an arithmetic number, because the mean of its divisors is an integer number (3413441304).

Almost surely, 2^164344847328 is an apocalyptic number.

164344847328 is a gapful number since it is divisible by the number (18) 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 164344847328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245767773888).

164344847328 is an abundant number, since it is smaller than the sum of its proper divisors (327190700448).

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

164344847328 is a wasteful number, since it uses less digits than its factorization.

164344847328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347417 (or 347406 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 164344847328 in words is "one hundred sixty-four billion, three hundred forty-four million, eight hundred forty-seven thousand, three hundred twenty-eight".