164143182720 has 512 divisors, whose sum is σ = 607149043200. Its totient is φ = 37300469760.

The previous prime is 164143182713. The next prime is 164143182757. The reversal of 164143182720 is 27281341461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38922052 + ... + 38926268.

It is an arithmetic number, because the mean of its divisors is an integer number (1185837975).

Almost surely, 2^164143182720 is an apocalyptic number.

164143182720 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 164143182720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303574521600).

164143182720 is an abundant number, since it is smaller than the sum of its proper divisors (443005860480).

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

164143182720 is a wasteful number, since it uses less digits than its factorization.

164143182720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4366 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 164143182720 in words is "one hundred sixty-four billion, one hundred forty-three million, one hundred eighty-two thousand, seven hundred twenty".