364404464404463 has 32 divisors (see below), whose sum is σ = 443936070451200. Its totient is φ = 292158016716384.

The previous prime is 364404464404451. The next prime is 364404464404481.

364404464404463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 364404464404463 - 2⁸ = 364404464404207 is a prime.

It is a super-2 number, since 2×364404464404463² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 364404464404399 and 364404464404408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364404464404433) 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, 1081705856 + ... + 1082042682.

It is an arithmetic number, because the mean of its divisors is an integer number (13873002201600).

Almost surely, 2^{364404464404463} is an apocalyptic number.

364404464404463 is a deficient number, since it is larger than the sum of its proper divisors (79531606046737).

364404464404463 is a wasteful number, since it uses less digits than its factorization.

364404464404463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439899.

The product of its (nonzero) digits is 127401984, while the sum is 56.

The spelling of 364404464404463 in words is "three hundred sixty-four trillion, four hundred four billion, four hundred sixty-four million, four hundred four thousand, four hundred sixty-three".