33985746349 has 2 divisors, whose sum is σ = 33985746350. Its totient is φ = 33985746348.

The previous prime is 33985746283. The next prime is 33985746383. The reversal of 33985746349 is 94364758933.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33619789449 + 365956900 = 183357^2 + 19130^2 .

It is an emirp because it is prime and its reverse (94364758933) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33985746349 - 2³³ = 25395811757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33985746649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16992873174 + 16992873175.

It is an arithmetic number, because the mean of its divisors is an integer number (16992873175).

Almost surely, 2^33985746349 is an apocalyptic number.

It is an amenable number.

33985746349 is a deficient number, since it is larger than the sum of its proper divisors (1).

33985746349 is an equidigital number, since it uses as much as digits as its factorization.

33985746349 is an evil number, because the sum of its binary digits is even.

The product of its digits is 58786560, while the sum is 61.

The spelling of 33985746349 in words is "thirty-three billion, nine hundred eighty-five million, seven hundred forty-six thousand, three hundred forty-nine".