164243264304200 has 192 divisors, whose sum is σ = 402840252288000. Its totient is φ = 62103928227840.

The previous prime is 164243264304167. The next prime is 164243264304221. The reversal of 164243264304200 is 2403462342461.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6093677924 + ... + 6093704876.

It is an arithmetic number, because the mean of its divisors is an integer number (2098126314000).

Almost surely, 2^{164243264304200} is an apocalyptic number.

164243264304200 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 164243264304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201420126144000).

164243264304200 is an abundant number, since it is smaller than the sum of its proper divisors (238596987983800).

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

164243264304200 is a wasteful number, since it uses less digits than its factorization.

164243264304200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30424 (or 30415 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 41.

The spelling of 164243264304200 in words is "one hundred sixty-four trillion, two hundred forty-three billion, two hundred sixty-four million, three hundred four thousand, two hundred".