34754329358041 has 2 divisors, whose sum is σ = 34754329358042. Its totient is φ = 34754329358040.

The previous prime is 34754329357991. The next prime is 34754329358083. The reversal of 34754329358041 is 14085392345743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19985334486016 + 14768994872025 = 4470496^2 + 3843045^2 .

It is a cyclic number.

It is not a de Polignac number, because 34754329358041 - 2²⁵ = 34754295803609 is a prime.

It is not a weakly prime, because it can be changed into another prime (34754329328041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17377164679020 + 17377164679021.

It is an arithmetic number, because the mean of its divisors is an integer number (17377164679021).

Almost surely, 2^{34754329358041} is an apocalyptic number.

It is an amenable number.

34754329358041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34754329358041 is an equidigital number, since it uses as much as digits as its factorization.

34754329358041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 43545600, while the sum is 58.

The spelling of 34754329358041 in words is "thirty-four trillion, seven hundred fifty-four billion, three hundred twenty-nine million, three hundred fifty-eight thousand, forty-one".