464864424468464 has 20 divisors (see below), whose sum is σ = 901097476074120. Its totient is φ = 232323140320320.

The previous prime is 464864424468421. The next prime is 464864424468487.

It is a happy number.

464864424468464 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×464864424468464³ (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464864424468391 and 464864424468400.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6816959459 + ... + 6817027650.

It is an arithmetic number, because the mean of its divisors is an integer number (45054873803706).

Almost surely, 2^{464864424468464} is an apocalyptic number.

It is an amenable number.

464864424468464 is a deficient number, since it is larger than the sum of its proper divisors (436233051605656).

464864424468464 is a wasteful number, since it uses less digits than its factorization.

464864424468464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13633989248 (or 13633989242 counting only the distinct ones).

The product of its digits is 10871635968, while the sum is 74.

The spelling of 464864424468464 in words is "four hundred sixty-four trillion, eight hundred sixty-four billion, four hundred twenty-four million, four hundred sixty-eight thousand, four hundred sixty-four".