33873145349 has 2 divisors, whose sum is σ = 33873145350. Its totient is φ = 33873145348.

The previous prime is 33873145343. The next prime is 33873145409. The reversal of 33873145349 is 94354137833.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27506222500 + 6366922849 = 165850^2 + 79793^2 .

It is a cyclic number.

It is not a de Polignac number, because 33873145349 - 2⁴ = 33873145333 is a prime.

It is a super-2 number, since 2×33873145349² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33873145297 and 33873145306.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33873145343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16936572674 + 16936572675.

It is an arithmetic number, because the mean of its divisors is an integer number (16936572675).

Almost surely, 2^33873145349 is an apocalyptic number.

It is an amenable number.

33873145349 is a deficient number, since it is larger than the sum of its proper divisors (1).

33873145349 is an equidigital number, since it uses as much as digits as its factorization.

33873145349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3265920, while the sum is 50.

The spelling of 33873145349 in words is "thirty-three billion, eight hundred seventy-three million, one hundred forty-five thousand, three hundred forty-nine".