363864808468363 has 2 divisors, whose sum is σ = 363864808468364. Its totient is φ = 363864808468362.

The previous prime is 363864808468307. The next prime is 363864808468393.

363864808468363 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-363864808468363 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 363864808468363.

It is not a weakly prime, because it can be changed into another prime (363864808468303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181932404234181 + 181932404234182.

It is an arithmetic number, because the mean of its divisors is an integer number (181932404234182).

Almost surely, 2^{363864808468363} is an apocalyptic number.

363864808468363 is a deficient number, since it is larger than the sum of its proper divisors (1).

363864808468363 is an equidigital number, since it uses as much as digits as its factorization.

363864808468363 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6879707136, while the sum is 76.

The spelling of 363864808468363 in words is "three hundred sixty-three trillion, eight hundred sixty-four billion, eight hundred eight million, four hundred sixty-eight thousand, three hundred sixty-three".