164076632641 has 2 divisors, whose sum is σ = 164076632642. Its totient is φ = 164076632640.

The previous prime is 164076632609. The next prime is 164076632653. The reversal of 164076632641 is 146236670461.

164076632641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130476276225 + 33600356416 = 361215^2 + 183304^2 .

It is a cyclic number.

It is not a de Polignac number, because 164076632641 - 2⁵ = 164076632609 is a prime.

It is a super-2 number, since 2×164076632641² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164076632591 and 164076632600.

It is not a weakly prime, because it can be changed into another prime (164076632341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82038316320 + 82038316321.

It is an arithmetic number, because the mean of its divisors is an integer number (82038316321).

Almost surely, 2^164076632641 is an apocalyptic number.

It is an amenable number.

164076632641 is a deficient number, since it is larger than the sum of its proper divisors (1).

164076632641 is an equidigital number, since it uses as much as digits as its factorization.

164076632641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 164076632641 in words is "one hundred sixty-four billion, seventy-six million, six hundred thirty-two thousand, six hundred forty-one".