164468393107200 has 2592 divisors, whose sum is σ = 753512840452736. Its totient is φ = 33297782538240.

The previous prime is 164468393107181. The next prime is 164468393107223. The reversal of 164468393107200 is 2701393864461.

164468393107200 is a `hidden beast` number, since 1 + 6 + 4 + 46 + 8 + 393 + 1 + 0 + 7 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14157555792 + ... + 14157567408.

Almost surely, 2^{164468393107200} is an apocalyptic number.

164468393107200 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 164468393107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376756420226368).

164468393107200 is an abundant number, since it is smaller than the sum of its proper divisors (589044447345536).

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

164468393107200 is a wasteful number, since it uses less digits than its factorization.

164468393107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11779 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 164468393107200 in words is "one hundred sixty-four trillion, four hundred sixty-eight billion, three hundred ninety-three million, one hundred seven thousand, two hundred".