34133415461 has 2 divisors, whose sum is σ = 34133415462. Its totient is φ = 34133415460.

The previous prime is 34133415451. The next prime is 34133415517. The reversal of 34133415461 is 16451433143.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33920430625 + 212984836 = 184175^2 + 14594^2 .

It is a cyclic number.

It is not a de Polignac number, because 34133415461 - 2¹⁸ = 34133153317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34133415451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17066707730 + 17066707731.

It is an arithmetic number, because the mean of its divisors is an integer number (17066707731).

Almost surely, 2^34133415461 is an apocalyptic number.

It is an amenable number.

34133415461 is a deficient number, since it is larger than the sum of its proper divisors (1).

34133415461 is an equidigital number, since it uses as much as digits as its factorization.

34133415461 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 51840, while the sum is 35.

The spelling of 34133415461 in words is "thirty-four billion, one hundred thirty-three million, four hundred fifteen thousand, four hundred sixty-one".