164169331200 has 960 divisors, whose sum is σ = 698193408000. Its totient is φ = 37006295040.

The previous prime is 164169331163. The next prime is 164169331201. The reversal of 164169331200 is 2133961461.

164169331200 is a `hidden beast` number, since 1 + 6 + 416 + 9 + 3 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164169331201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191116371 + ... + 191117229.

It is an arithmetic number, because the mean of its divisors is an integer number (727284800).

Almost surely, 2^164169331200 is an apocalyptic number.

164169331200 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 164169331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349096704000).

164169331200 is an abundant number, since it is smaller than the sum of its proper divisors (534024076800).

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

164169331200 is an equidigital number, since it uses as much as digits as its factorization.

164169331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 164169331200 in words is "one hundred sixty-four billion, one hundred sixty-nine million, three hundred thirty-one thousand, two hundred".