164167099200 has 504 divisors, whose sum is σ = 629922236216. Its totient is φ = 40310784000.

The previous prime is 164167099177. The next prime is 164167099237. The reversal of 164167099200 is 2990761461.

It can be written as a sum of positive squares in 12 ways, for example, as 58536899136 + 105630200064 = 241944^2 + 325008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101274390 + ... + 101276010.

Almost surely, 2^164167099200 is an apocalyptic number.

164167099200 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 164167099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314961118108).

164167099200 is an abundant number, since it is smaller than the sum of its proper divisors (465755137016).

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

164167099200 is a wasteful number, since it uses less digits than its factorization.

164167099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 164167099200 in words is "one hundred sixty-four billion, one hundred sixty-seven million, ninety-nine thousand, two hundred".