364244080442463 has 64 divisors (see below), whose sum is σ = 596177042227200. Its totient is φ = 218415088759680.

The previous prime is 364244080442413. The next prime is 364244080442483.

364244080442463 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 440 + 80 + 44 + 24 + 63 = 666.

364244080442463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 364244080442463 - 2²⁵ = 364244046888031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364244080442413) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77204383 + ... + 81786336.

It is an arithmetic number, because the mean of its divisors is an integer number (9315266284800).

Almost surely, 2^{364244080442463} is an apocalyptic number.

364244080442463 is a deficient number, since it is larger than the sum of its proper divisors (231932961784737).

364244080442463 is a wasteful number, since it uses less digits than its factorization.

364244080442463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158990909 (or 158990903 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 54.

The spelling of 364244080442463 in words is "three hundred sixty-four trillion, two hundred forty-four billion, eighty million, four hundred forty-two thousand, four hundred sixty-three".