35408354400073 has 2 divisors, whose sum is σ = 35408354400074. Its totient is φ = 35408354400072.

The previous prime is 35408354399989. The next prime is 35408354400079. The reversal of 35408354400073 is 37000445380453.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18448717268809 + 16959637131264 = 4295197^2 + 4118208^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-35408354400073 is a prime.

It is a super-2 number, since 2×35408354400073² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35408354399996 and 35408354400032.

It is not a weakly prime, because it can be changed into another prime (35408354400079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17704177200036 + 17704177200037.

It is an arithmetic number, because the mean of its divisors is an integer number (17704177200037).

Almost surely, 2^{35408354400073} is an apocalyptic number.

It is an amenable number.

35408354400073 is a deficient number, since it is larger than the sum of its proper divisors (1).

35408354400073 is an equidigital number, since it uses as much as digits as its factorization.

35408354400073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 46.

The spelling of 35408354400073 in words is "thirty-five trillion, four hundred eight billion, three hundred fifty-four million, four hundred thousand, seventy-three".