466346643664 has 40 divisors (see below), whose sum is σ = 985725534528. Its totient is φ = 211967508480.

The previous prime is 466346643661. The next prime is 466346643673.

466346643664 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 466346643599 and 466346643608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466346643661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8804749 + ... + 8857555.

Almost surely, 2^466346643664 is an apocalyptic number.

466346643664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

466346643664 is an abundant number, since it is smaller than the sum of its proper divisors (519378890864).

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

466346643664 is a wasteful number, since it uses less digits than its factorization.

466346643664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103003 (or 102997 counting only the distinct ones).

The product of its digits is 107495424, while the sum is 58.

The spelling of 466346643664 in words is "four hundred sixty-six billion, three hundred forty-six million, six hundred forty-three thousand, six hundred sixty-four".