464064808460464 has 20 divisors (see below), whose sum is σ = 909958404544056. Its totient is φ = 229236833094272.

The previous prime is 464064808460441. The next prime is 464064808460479.

It is a happy number.

464064808460464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×464064808460464² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 464064808460396 and 464064808460405.

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 in 3 ways as a sum of consecutive naturals, for example, 174723194629 + ... + 174723197284.

Almost surely, 2^{464064808460464} is an apocalyptic number.

It is an amenable number.

464064808460464 is a deficient number, since it is larger than the sum of its proper divisors (445893596083592).

464064808460464 is a wasteful number, since it uses less digits than its factorization.

464064808460464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349446392004 (or 349446391998 counting only the distinct ones).

The product of its (nonzero) digits is 339738624, while the sum is 64.

The spelling of 464064808460464 in words is "four hundred sixty-four trillion, sixty-four billion, eight hundred eight million, four hundred sixty thousand, four hundred sixty-four".