164648484 has 192 divisors, whose sum is σ = 573511680. Its totient is φ = 39450240.

The previous prime is 164648459. The next prime is 164648501. The reversal of 164648484 is 484846461.

164648484 is a `hidden beast` number, since 164 + 6 + 4 + 8 + 484 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107347 + ... + 108869.

It is an arithmetic number, because the mean of its divisors is an integer number (2987040).

Almost surely, 2^164648484 is an apocalyptic number.

164648484 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 164648484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

164648484 is an abundant number, since it is smaller than the sum of its proper divisors (408863196).

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

164648484 is a wasteful number, since it uses less digits than its factorization.

164648484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1567 (or 1559 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 164648484 is about 12831.5425417212. The cubic root of 164648484 is about 548.0908839265.

The spelling of 164648484 in words is "one hundred sixty-four million, six hundred forty-eight thousand, four hundred eighty-four".