34033031346241 has 2 divisors, whose sum is σ = 34033031346242. Its totient is φ = 34033031346240.

The previous prime is 34033031346221. The next prime is 34033031346323. The reversal of 34033031346241 is 14264313033043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33094707840000 + 938323506241 = 5752800^2 + 968671^2 .

It is a cyclic number.

It is not a de Polignac number, because 34033031346241 - 2¹³ = 34033031338049 is a prime.

It is a super-2 number, since 2×34033031346241² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34033031346241.

It is not a weakly prime, because it can be changed into another prime (34033031346221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17016515673120 + 17016515673121.

It is an arithmetic number, because the mean of its divisors is an integer number (17016515673121).

Almost surely, 2^{34033031346241} is an apocalyptic number.

It is an amenable number.

34033031346241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34033031346241 is an equidigital number, since it uses as much as digits as its factorization.

34033031346241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 186624, while the sum is 37.

Adding to 34033031346241 its reverse (14264313033043), we get a palindrome (48297344379284).

The spelling of 34033031346241 in words is "thirty-four trillion, thirty-three billion, thirty-one million, three hundred forty-six thousand, two hundred forty-one".