364446303644463 has 32 divisors (see below), whose sum is σ = 528434353941696. Its totient is φ = 222485046755328.

The previous prime is 364446303644459. The next prime is 364446303644509.

364446303644463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 364446303644463 - 2² = 364446303644459 is a prime.

It is a super-2 number, since 2×364446303644463² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 364446303644397 and 364446303644406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364446303644263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59014695 + ... + 64897047.

It is an arithmetic number, because the mean of its divisors is an integer number (16513573560678).

Almost surely, 2^{364446303644463} is an apocalyptic number.

364446303644463 is a deficient number, since it is larger than the sum of its proper divisors (163988050297233).

364446303644463 is a wasteful number, since it uses less digits than its factorization.

364446303644463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915243.

The product of its (nonzero) digits is 429981696, while the sum is 60.

The spelling of 364446303644463 in words is "three hundred sixty-four trillion, four hundred forty-six billion, three hundred three million, six hundred forty-four thousand, four hundred sixty-three".