33820344038441 has 2 divisors, whose sum is σ = 33820344038442. Its totient is φ = 33820344038440.

The previous prime is 33820344038399. The next prime is 33820344038477. The reversal of 33820344038441 is 14483044302833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23005644816400 + 10814699222041 = 4796420^2 + 3288571^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33820344038441 is a prime.

It is a super-2 number, since 2×33820344038441² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33820344034441) 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, 16910172019220 + 16910172019221.

It is an arithmetic number, because the mean of its divisors is an integer number (16910172019221).

Almost surely, 2^{33820344038441} is an apocalyptic number.

It is an amenable number.

33820344038441 is a deficient number, since it is larger than the sum of its proper divisors (1).

33820344038441 is an equidigital number, since it uses as much as digits as its factorization.

33820344038441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2654208, while the sum is 47.

The spelling of 33820344038441 in words is "thirty-three trillion, eight hundred twenty billion, three hundred forty-four million, thirty-eight thousand, four hundred forty-one".