364461464164463 has 16 divisors (see below), whose sum is σ = 368253564364800. Its totient is φ = 360672988500000.

The previous prime is 364461464164433. The next prime is 364461464164487.

364461464164463 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 364461464164463 - 2²² = 364461459970159 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 364461464164396 and 364461464164405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364461464164403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3331798856 + ... + 3331908242.

It is an arithmetic number, because the mean of its divisors is an integer number (23015847772800).

Almost surely, 2^{364461464164463} is an apocalyptic number.

364461464164463 is a deficient number, since it is larger than the sum of its proper divisors (3792100200337).

364461464164463 is a wasteful number, since it uses less digits than its factorization.

364461464164463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125638.

The product of its digits is 286654464, while the sum is 62.

The spelling of 364461464164463 in words is "three hundred sixty-four trillion, four hundred sixty-one billion, four hundred sixty-four million, one hundred sixty-four thousand, four hundred sixty-three".