73807349001409 has 2 divisors, whose sum is σ = 73807349001410. Its totient is φ = 73807349001408.

The previous prime is 73807349001389. The next prime is 73807349001433. The reversal of 73807349001409 is 90410094370837.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59782324001409 + 14025025000000 = 7731903^2 + 3745000^2 .

It is a cyclic number.

It is not a de Polignac number, because 73807349001409 - 2¹⁷ = 73807348870337 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 73807349001409.

It is not a weakly prime, because it can be changed into another prime (73807349001109) 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, 36903674500704 + 36903674500705.

It is an arithmetic number, because the mean of its divisors is an integer number (36903674500705).

Almost surely, 2^{73807349001409} is an apocalyptic number.

It is an amenable number.

73807349001409 is a deficient number, since it is larger than the sum of its proper divisors (1).

73807349001409 is an equidigital number, since it uses as much as digits as its factorization.

73807349001409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 73807349001409 in words is "seventy-three trillion, eight hundred seven billion, three hundred forty-nine million, one thousand, four hundred nine".