466443303344664 has 128 divisors (see below), whose sum is σ = 1264228860672000. Its totient is φ = 142910862741504.

The previous prime is 466443303344567. The next prime is 466443303344699.

466443303344664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466443303344598 and 466443303344607.

It is a congruent number.

It is an unprimeable number.

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, 33202824 + ... + 45114455.

It is an arithmetic number, because the mean of its divisors is an integer number (9876787974000).

Almost surely, 2^{466443303344664} is an apocalyptic number.

It is an amenable number.

466443303344664 is an abundant number, since it is smaller than the sum of its proper divisors (797785557327336).

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

466443303344664 is a wasteful number, since it uses less digits than its factorization.

466443303344664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78317697 (or 78317693 counting only the distinct ones).

The product of its (nonzero) digits is 429981696, while the sum is 60.

It can be divided in two parts, 46644330 and 3344664, that added together give a palindrome (49988994).

The spelling of 466443303344664 in words is "four hundred sixty-six trillion, four hundred forty-three billion, three hundred three million, three hundred forty-four thousand, six hundred sixty-four".