34468405201 has 2 divisors, whose sum is σ = 34468405202. Its totient is φ = 34468405200.

The previous prime is 34468405159. The next prime is 34468405241. The reversal of 34468405201 is 10250486443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23274553600 + 11193851601 = 152560^2 + 105801^2 .

It is a cyclic number.

It is not a de Polignac number, because 34468405201 - 2¹³ = 34468397009 is a prime.

It is not a weakly prime, because it can be changed into another prime (34468405241) 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, 17234202600 + 17234202601.

It is an arithmetic number, because the mean of its divisors is an integer number (17234202601).

Almost surely, 2^34468405201 is an apocalyptic number.

It is an amenable number.

34468405201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34468405201 is an equidigital number, since it uses as much as digits as its factorization.

34468405201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 34468405201 in words is "thirty-four billion, four hundred sixty-eight million, four hundred five thousand, two hundred one".