164443556641431 has 16 divisors (see below), whose sum is σ = 226338367858688. Its totient is φ = 106089124442400.

The previous prime is 164443556641411. The next prime is 164443556641451. The reversal of 164443556641431 is 134146655344461.

It is an interprime number because it is at equal distance from previous prime (164443556641411) and next prime (164443556641451).

It is not a de Polignac number, because 164443556641431 - 2²⁷ = 164443422423703 is a prime.

It is a super-2 number, since 2×164443556641431² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164443556641411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26264656 + ... + 31917381.

It is an arithmetic number, because the mean of its divisors is an integer number (14146147991168).

Almost surely, 2^{164443556641431} is an apocalyptic number.

164443556641431 is a deficient number, since it is larger than the sum of its proper divisors (61894811217257).

164443556641431 is a wasteful number, since it uses less digits than its factorization.

164443556641431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58212462.

The product of its digits is 49766400, while the sum is 57.

The spelling of 164443556641431 in words is "one hundred sixty-four trillion, four hundred forty-three billion, five hundred fifty-six million, six hundred forty-one thousand, four hundred thirty-one".