164404126031343 has 48 divisors (see below), whose sum is σ = 242339981194080. Its totient is φ = 99062665461760.

The previous prime is 164404126031287. The next prime is 164404126031381. The reversal of 164404126031343 is 343130621404461.

It is not a de Polignac number, because 164404126031343 - 2¹⁴ = 164404126014959 is a prime.

It is a super-3 number, since 3×164404126031343³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164404126031295 and 164404126031304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164404126031543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99943171 + ... + 101574827.

It is an arithmetic number, because the mean of its divisors is an integer number (5048749608210).

Almost surely, 2^{164404126031343} is an apocalyptic number.

164404126031343 is a deficient number, since it is larger than the sum of its proper divisors (77935855162737).

164404126031343 is a wasteful number, since it uses less digits than its factorization.

164404126031343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633288 (or 1633277 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 164404126031343 in words is "one hundred sixty-four trillion, four hundred four billion, one hundred twenty-six million, thirty-one thousand, three hundred forty-three".