363663346500673 has 2 divisors, whose sum is σ = 363663346500674. Its totient is φ = 363663346500672.

The previous prime is 363663346500593. The next prime is 363663346500697. The reversal of 363663346500673 is 376005643366363.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 349303278777649 + 14360067723024 = 18689657^2 + 3789468^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-363663346500673 is a prime.

It is a super-2 number, since 2×363663346500673² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (363663346507673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181831673250336 + 181831673250337.

It is an arithmetic number, because the mean of its divisors is an integer number (181831673250337).

Almost surely, 2^{363663346500673} is an apocalyptic number.

It is an amenable number.

363663346500673 is a deficient number, since it is larger than the sum of its proper divisors (1).

363663346500673 is an equidigital number, since it uses as much as digits as its factorization.

363663346500673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264539520, while the sum is 61.

The spelling of 363663346500673 in words is "three hundred sixty-three trillion, six hundred sixty-three billion, three hundred forty-six million, five hundred thousand, six hundred seventy-three".