21164003624341 has 2 divisors, whose sum is σ = 21164003624342. Its totient is φ = 21164003624340.

The previous prime is 21164003624287. The next prime is 21164003624371. The reversal of 21164003624341 is 14342630046112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20815721880625 + 348281743716 = 4562425^2 + 590154^2 .

It is a cyclic number.

It is not a de Polignac number, because 21164003624341 - 2¹³ = 21164003616149 is a prime.

It is a super-2 number, since 2×21164003624341² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21164003624341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21164003624371) 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 as a sum of consecutive naturals, namely, 10582001812170 + 10582001812171.

It is an arithmetic number, because the mean of its divisors is an integer number (10582001812171).

Almost surely, 2^{21164003624341} is an apocalyptic number.

It is an amenable number.

21164003624341 is a deficient number, since it is larger than the sum of its proper divisors (1).

21164003624341 is an equidigital number, since it uses as much as digits as its factorization.

21164003624341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 21164003624341 in words is "twenty-one trillion, one hundred sixty-four billion, three million, six hundred twenty-four thousand, three hundred forty-one".