21416079318401 has 2 divisors, whose sum is σ = 21416079318402. Its totient is φ = 21416079318400.

The previous prime is 21416079318379. The next prime is 21416079318419. The reversal of 21416079318401 is 10481397061412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21416079318001 + 400 = 4627751^2 + 20^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-21416079318401 is a prime.

It is not a weakly prime, because it can be changed into another prime (21416079317401) 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, 10708039659200 + 10708039659201.

It is an arithmetic number, because the mean of its divisors is an integer number (10708039659201).

Almost surely, 2^{21416079318401} is an apocalyptic number.

It is an amenable number.

21416079318401 is a deficient number, since it is larger than the sum of its proper divisors (1).

21416079318401 is an equidigital number, since it uses as much as digits as its factorization.

21416079318401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 47.

The spelling of 21416079318401 in words is "twenty-one trillion, four hundred sixteen billion, seventy-nine million, three hundred eighteen thousand, four hundred one".