164463742242 has 54 divisors (see below), whose sum is σ = 362506818609. Its totient is φ = 53888127120.

The previous prime is 164463742241. The next prime is 164463742301. The reversal of 164463742242 is 242247364461.

164463742242 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 637 + 4 + 2 + 2 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 111403080441 + 53060661801 = 333771^2 + 230349^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=286761.

It is not an unprimeable number, because it can be changed into a prime (164463742241) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 104953743 + ... + 104955309.

Almost surely, 2^164463742242 is an apocalyptic number.

164463742242 is an abundant number, since it is smaller than the sum of its proper divisors (198043076367).

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

164463742242 is an frugal number, since it uses more digits than its factorization.

164463742242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 1633 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 45.

The spelling of 164463742242 in words is "one hundred sixty-four billion, four hundred sixty-three million, seven hundred forty-two thousand, two hundred forty-two".