33789482102461 has 2 divisors, whose sum is σ = 33789482102462. Its totient is φ = 33789482102460.

The previous prime is 33789482102423. The next prime is 33789482102483. The reversal of 33789482102461 is 16420128498733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27977858148100 + 5811623954361 = 5289410^2 + 2410731^2 .

It is a cyclic number.

It is not a de Polignac number, because 33789482102461 - 2¹⁷ = 33789481971389 is a prime.

It is a super-2 number, since 2×33789482102461² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33789482102396 and 33789482102405.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33789482102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16894741051230 + 16894741051231.

It is an arithmetic number, because the mean of its divisors is an integer number (16894741051231).

Almost surely, 2^{33789482102461} is an apocalyptic number.

It is an amenable number.

33789482102461 is a deficient number, since it is larger than the sum of its proper divisors (1).

33789482102461 is an equidigital number, since it uses as much as digits as its factorization.

33789482102461 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13934592, while the sum is 58.

The spelling of 33789482102461 in words is "thirty-three trillion, seven hundred eighty-nine billion, four hundred eighty-two million, one hundred two thousand, four hundred sixty-one".