164342144160000 has 945 divisors, whose sum is σ = 615119597244691. Its totient is φ = 43787651328000.

The previous prime is 164342144159993. The next prime is 164342144160001. The reversal of 164342144160000 is 61441243461.

The square root of 164342144160000 is 12819600.

It is a perfect power (a square), and thus also a powerful number.

164342144160000 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 4 + 2 + 1 + 4 + 41 + 600 + 0 + 0 = 666.

164342144160000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12884424102144 + 151457720057856 = 3589488^2 + 12306816^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164342144160001) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 138451679407 + ... + 138451680593.

Almost surely, 2^{164342144160000} is an apocalyptic number.

164342144160000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164342144160000 is the 12819600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164342144160000

164342144160000 is an abundant number, since it is smaller than the sum of its proper divisors (450777453084691).

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

164342144160000 is an frugal number, since it uses more digits than its factorization.

164342144160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 1197 counting only the distinct ones).

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

164342144160000 divided by its sum of digits (36) gives a square (4565059560000 = 2136600²).

The spelling of 164342144160000 in words is "one hundred sixty-four trillion, three hundred forty-two billion, one hundred forty-four million, one hundred sixty thousand".