34706122496401 has 2 divisors, whose sum is σ = 34706122496402. Its totient is φ = 34706122496400.

The previous prime is 34706122496369. The next prime is 34706122496411. The reversal of 34706122496401 is 10469422160743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18762065510400 + 15944056986001 = 4331520^2 + 3993001^2 .

It is a cyclic number.

It is not a de Polignac number, because 34706122496401 - 2⁵ = 34706122496369 is a prime.

It is not a weakly prime, because it can be changed into another prime (34706122496411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17353061248200 + 17353061248201.

It is an arithmetic number, because the mean of its divisors is an integer number (17353061248201).

Almost surely, 2^{34706122496401} is an apocalyptic number.

It is an amenable number.

34706122496401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34706122496401 is an equidigital number, since it uses as much as digits as its factorization.

34706122496401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 34706122496401 in words is "thirty-four trillion, seven hundred six billion, one hundred twenty-two million, four hundred ninety-six thousand, four hundred one".