466646646664 has 32 divisors (see below), whose sum is σ = 963261446400. Its totient is φ = 210166125120.

The previous prime is 466646646629. The next prime is 466646646673.

466646646664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466646646596 and 466646646605.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24315192 + ... + 24334375.

It is an arithmetic number, because the mean of its divisors is an integer number (30101920200).

Almost surely, 2^466646646664 is an apocalyptic number.

466646646664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466646646664 is an abundant number, since it is smaller than the sum of its proper divisors (496614799736).

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

466646646664 is a wasteful number, since it uses less digits than its factorization.

466646646664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48649693 (or 48649689 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 64.

The spelling of 466646646664 in words is "four hundred sixty-six billion, six hundred forty-six million, six hundred forty-six thousand, six hundred sixty-four".