33144124400461 has 2 divisors, whose sum is σ = 33144124400462. Its totient is φ = 33144124400460.

The previous prime is 33144124400357. The next prime is 33144124400477. The reversal of 33144124400461 is 16400442144133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16662879116361 + 16481245284100 = 4082019^2 + 4059710^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-33144124400461 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33144124400461.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33144124401461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16572062200230 + 16572062200231.

It is an arithmetic number, because the mean of its divisors is an integer number (16572062200231).

Almost surely, 2^{33144124400461} is an apocalyptic number.

It is an amenable number.

33144124400461 is a deficient number, since it is larger than the sum of its proper divisors (1).

33144124400461 is an equidigital number, since it uses as much as digits as its factorization.

33144124400461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 110592, while the sum is 37.

Adding to 33144124400461 its reverse (16400442144133), we get a palindrome (49544566544594).

The spelling of 33144124400461 in words is "thirty-three trillion, one hundred forty-four billion, one hundred twenty-four million, four hundred thousand, four hundred sixty-one".