363645121546363 has 2 divisors, whose sum is σ = 363645121546364. Its totient is φ = 363645121546362.

The previous prime is 363645121546337. The next prime is 363645121546373.

363645121546363 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 363645121546363 - 2²⁵ = 363645087991931 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 363645121546298 and 363645121546307.

It is not a weakly prime, because it can be changed into another prime (363645121546303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 181822560773181 + 181822560773182.

It is an arithmetic number, because the mean of its divisors is an integer number (181822560773182).

Almost surely, 2^{363645121546363} is an apocalyptic number.

363645121546363 is a deficient number, since it is larger than the sum of its proper divisors (1).

363645121546363 is an equidigital number, since it uses as much as digits as its factorization.

363645121546363 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 83980800, while the sum is 58.

The spelling of 363645121546363 in words is "three hundred sixty-three trillion, six hundred forty-five billion, one hundred twenty-one million, five hundred forty-six thousand, three hundred sixty-three".