33748611934361 has 2 divisors, whose sum is σ = 33748611934362. Its totient is φ = 33748611934360.

The previous prime is 33748611934357. The next prime is 33748611934363. The reversal of 33748611934361 is 16343911684733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33738381825625 + 10230108736 = 5808475^2 + 101144^2 .

It is a cyclic number.

It is not a de Polignac number, because 33748611934361 - 2² = 33748611934357 is a prime.

It is a super-2 number, since 2×33748611934361² (a number of 28 digits) contains 22 as substring.

Together with 33748611934363, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33748611934361.

It is not a weakly prime, because it can be changed into another prime (33748611934363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16874305967180 + 16874305967181.

It is an arithmetic number, because the mean of its divisors is an integer number (16874305967181).

Almost surely, 2^{33748611934361} is an apocalyptic number.

It is an amenable number.

33748611934361 is a deficient number, since it is larger than the sum of its proper divisors (1).

33748611934361 is an equidigital number, since it uses as much as digits as its factorization.

33748611934361 is an evil number, because the sum of its binary digits is even.

The product of its digits is 23514624, while the sum is 59.

The spelling of 33748611934361 in words is "thirty-three trillion, seven hundred forty-eight billion, six hundred eleven million, nine hundred thirty-four thousand, three hundred sixty-one".