164148508800 has 480 divisors, whose sum is σ = 637644493200. Its totient is φ = 41467852800.

The previous prime is 164148508793. The next prime is 164148508837. The reversal of 164148508800 is 8805841461.

164148508800 is a `hidden beast` number, since 1 + 64 + 1 + 4 + 8 + 508 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4908135 + ... + 4941465.

Almost surely, 2^164148508800 is an apocalyptic number.

164148508800 is a gapful number since it is divisible by the number (10) 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 164148508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318822246600).

164148508800 is an abundant number, since it is smaller than the sum of its proper divisors (473495984400).

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

164148508800 is a wasteful number, since it uses less digits than its factorization.

164148508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33386 (or 33360 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 164148508800 in words is "one hundred sixty-four billion, one hundred forty-eight million, five hundred eight thousand, eight hundred".