164683450400461 has 2 divisors, whose sum is σ = 164683450400462. Its totient is φ = 164683450400460.

The previous prime is 164683450400377. The next prime is 164683450400473. The reversal of 164683450400461 is 164004054386461.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98963082024361 + 65720368376100 = 9948019^2 + 8106810^2 .

It is a cyclic number.

It is not a de Polignac number, because 164683450400461 - 2¹⁵ = 164683450367693 is a prime.

It is a super-3 number, since 3×164683450400461³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164683450400399 and 164683450400408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164683450400761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82341725200230 + 82341725200231.

It is an arithmetic number, because the mean of its divisors is an integer number (82341725200231).

Almost surely, 2^{164683450400461} is an apocalyptic number.

It is an amenable number.

164683450400461 is a deficient number, since it is larger than the sum of its proper divisors (1).

164683450400461 is an equidigital number, since it uses as much as digits as its factorization.

164683450400461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6635520, while the sum is 52.

The spelling of 164683450400461 in words is "one hundred sixty-four trillion, six hundred eighty-three billion, four hundred fifty million, four hundred thousand, four hundred sixty-one".