33893343220801 has 2 divisors, whose sum is σ = 33893343220802. Its totient is φ = 33893343220800.

The previous prime is 33893343220691. The next prime is 33893343220813. The reversal of 33893343220801 is 10802234339833.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32526501646401 + 1366841574400 = 5703201^2 + 1169120^2 .

It is a cyclic number.

It is not a de Polignac number, because 33893343220801 - 2²³ = 33893334832193 is a prime.

It is a super-2 number, since 2×33893343220801² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33893343220001) 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, 16946671610400 + 16946671610401.

It is an arithmetic number, because the mean of its divisors is an integer number (16946671610401).

Almost surely, 2^{33893343220801} is an apocalyptic number.

It is an amenable number.

33893343220801 is a deficient number, since it is larger than the sum of its proper divisors (1).

33893343220801 is an equidigital number, since it uses as much as digits as its factorization.

33893343220801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2239488, while the sum is 49.

The spelling of 33893343220801 in words is "thirty-three trillion, eight hundred ninety-three billion, three hundred forty-three million, two hundred twenty thousand, eight hundred one".