466413303314664 has 128 divisors (see below), whose sum is σ = 1296167342544000. Its totient is φ = 155402136755712.

The previous prime is 466413303314663. The next prime is 466413303314713.

466413303314664 is a `hidden beast` number, since 4 + 6 + 6 + 4 + 13 + 303 + 314 + 6 + 6 + 4 = 666.

466413303314664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 466413303314664.

It is not an unprimeable number, because it can be changed into a prime (466413303314663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4698997324 + ... + 4699096580.

It is an arithmetic number, because the mean of its divisors is an integer number (10126307363625).

Almost surely, 2^{466413303314664} is an apocalyptic number.

It is an amenable number.

466413303314664 is an abundant number, since it is smaller than the sum of its proper divisors (829754039229336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466413303314664 is a wasteful number, since it uses less digits than its factorization.

466413303314664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108704 (or 108694 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 54.

It can be divided in two parts, 46641330 and 3314664, that added together give a palindrome (49955994).

The spelling of 466413303314664 in words is "four hundred sixty-six trillion, four hundred thirteen billion, three hundred three million, three hundred fourteen thousand, six hundred sixty-four".