33748075063949 has 2 divisors, whose sum is σ = 33748075063950. Its totient is φ = 33748075063948.

The previous prime is 33748075063919. The next prime is 33748075063951. The reversal of 33748075063949 is 94936057084733.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33472959078724 + 275115985225 = 5785582^2 + 524515^2 .

It is a cyclic number.

It is not a de Polignac number, because 33748075063949 - 2¹⁶ = 33748074998413 is a prime.

It is a super-2 number, since 2×33748075063949² (a number of 28 digits) contains 22 as substring.

Together with 33748075063951, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33748075063919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16874037531974 + 16874037531975.

It is an arithmetic number, because the mean of its divisors is an integer number (16874037531975).

Almost surely, 2^{33748075063949} is an apocalyptic number.

It is an amenable number.

33748075063949 is a deficient number, since it is larger than the sum of its proper divisors (1).

33748075063949 is an equidigital number, since it uses as much as digits as its factorization.

33748075063949 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 411505920, while the sum is 68.

The spelling of 33748075063949 in words is "thirty-three trillion, seven hundred forty-eight billion, seventy-five million, sixty-three thousand, nine hundred forty-nine".