33444112204001 has 2 divisors, whose sum is σ = 33444112204002. Its totient is φ = 33444112204000.

The previous prime is 33444112203979. The next prime is 33444112204049. The reversal of 33444112204001 is 10040221144433.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16782008662225 + 16662103541776 = 4096585^2 + 4081924^2 .

It is a cyclic number.

It is not a de Polignac number, because 33444112204001 - 2¹⁴ = 33444112187617 is a prime.

It is a super-2 number, since 2×33444112204001² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33444112264001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16722056102000 + 16722056102001.

It is an arithmetic number, because the mean of its divisors is an integer number (16722056102001).

Almost surely, 2^{33444112204001} is an apocalyptic number.

It is an amenable number.

33444112204001 is a deficient number, since it is larger than the sum of its proper divisors (1).

33444112204001 is an equidigital number, since it uses as much as digits as its factorization.

33444112204001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 33444112204001 its reverse (10040221144433), we get a palindrome (43484333348434).

The spelling of 33444112204001 in words is "thirty-three trillion, four hundred forty-four billion, one hundred twelve million, two hundred four thousand, one".