164286322200 has 1728 divisors, whose sum is σ = 776559463680. Its totient is φ = 31408819200.

The previous prime is 164286322163. The next prime is 164286322247. The reversal of 164286322200 is 2223682461.

164286322200 is a `hidden beast` number, since 1 + 6 + 428 + 6 + 3 + 2 + 220 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 535134447 + ... + 535134753.

Almost surely, 2^164286322200 is an apocalyptic number.

164286322200 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 164286322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388279731840).

164286322200 is an abundant number, since it is smaller than the sum of its proper divisors (612273141480).

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

164286322200 is a wasteful number, since it uses less digits than its factorization.

164286322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 164286322200 in words is "one hundred sixty-four billion, two hundred eighty-six million, three hundred twenty-two thousand, two hundred".