363541606145363 has 16 divisors (see below), whose sum is σ = 371227539564000. Its totient is φ = 355907552796672.

The previous prime is 363541606145303. The next prime is 363541606145383.

363541606145363 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 363541606145363 - 2¹⁸ = 363541605883219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 363541606145299 and 363541606145308.

It is not an unprimeable number, because it can be changed into a prime (363541606145303) 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 in 15 ways as a sum of consecutive naturals, for example, 34688723 + ... + 43936211.

It is an arithmetic number, because the mean of its divisors is an integer number (23201721222750).

Almost surely, 2^{363541606145363} is an apocalyptic number.

363541606145363 is a deficient number, since it is larger than the sum of its proper divisors (7685933418637).

363541606145363 is a wasteful number, since it uses less digits than its factorization.

363541606145363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250294.

The product of its (nonzero) digits is 41990400, while the sum is 56.

The spelling of 363541606145363 in words is "three hundred sixty-three trillion, five hundred forty-one billion, six hundred six million, one hundred forty-five thousand, three hundred sixty-three".