164434335681 has 48 divisors (see below), whose sum is σ = 278340338880. Its totient is φ = 85385502720.

The previous prime is 164434335619. The next prime is 164434335697. The reversal of 164434335681 is 186533434461.

It is not a de Polignac number, because 164434335681 - 2⁷ = 164434335553 is a prime.

It is a super-3 number, since 3×164434335681³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 164434335681.

It is not an unprimeable number, because it can be changed into a prime (164434335601) 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 47 ways as a sum of consecutive naturals, for example, 4199265 + ... + 4238241.

It is an arithmetic number, because the mean of its divisors is an integer number (5798757060).

Almost surely, 2^164434335681 is an apocalyptic number.

164434335681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164434335681 is a deficient number, since it is larger than the sum of its proper divisors (113906003199).

164434335681 is a wasteful number, since it uses less digits than its factorization.

164434335681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41614 (or 41607 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 48.

The spelling of 164434335681 in words is "one hundred sixty-four billion, four hundred thirty-four million, three hundred thirty-five thousand, six hundred eighty-one".