464415424514464 has 12 divisors (see below), whose sum is σ = 914317867012914. Its totient is φ = 232207712257216.

The previous prime is 464415424514441. The next prime is 464415424514479.

464415424514464 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 264636761875600 + 199778662638864 = 16267660^2 + 14134308^2 .

It is a junction number, because it is equal to n+sod(n) for n = 464415424514399 and 464415424514408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7256491008007 + ... + 7256491008070.

Almost surely, 2^{464415424514464} is an apocalyptic number.

It is an amenable number.

464415424514464 is a deficient number, since it is larger than the sum of its proper divisors (449902442498450).

464415424514464 is a wasteful number, since it uses less digits than its factorization.

464415424514464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14512982016087 (or 14512982016079 counting only the distinct ones).

The product of its digits is 117964800, while the sum is 58.

The spelling of 464415424514464 in words is "four hundred sixty-four trillion, four hundred fifteen billion, four hundred twenty-four million, five hundred fourteen thousand, four hundred sixty-four".