34616430100181 has 2 divisors, whose sum is σ = 34616430100182. Its totient is φ = 34616430100180.

The previous prime is 34616430100139. The next prime is 34616430100183. The reversal of 34616430100181 is 18100103461643.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19619283161956 + 14997146938225 = 4429366^2 + 3872615^2 .

It is a cyclic number.

It is not a de Polignac number, because 34616430100181 - 2⁶ = 34616430100117 is a prime.

It is a super-2 number, since 2×34616430100181² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 34616430100183, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34616430100183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17308215050090 + 17308215050091.

It is an arithmetic number, because the mean of its divisors is an integer number (17308215050091).

Almost surely, 2^{34616430100181} is an apocalyptic number.

It is an amenable number.

34616430100181 is a deficient number, since it is larger than the sum of its proper divisors (1).

34616430100181 is an equidigital number, since it uses as much as digits as its factorization.

34616430100181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 38.

The spelling of 34616430100181 in words is "thirty-four trillion, six hundred sixteen billion, four hundred thirty million, one hundred thousand, one hundred eighty-one".