466332585233664 has 1152 divisors, whose sum is σ = 1412277343948800. Its totient is φ = 135881860055040.

The previous prime is 466332585233663. The next prime is 466332585233677.

466332585233664 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 466332585233595 and 466332585233604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466332585233663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 576430883692 + ... + 576430884500.

It is an arithmetic number, because the mean of its divisors is an integer number (1225935194400).

Almost surely, 2^{466332585233664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466332585233664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706138671974400).

466332585233664 is an abundant number, since it is smaller than the sum of its proper divisors (945944758715136).

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

466332585233664 is a wasteful number, since it uses less digits than its factorization.

466332585233664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1317 counting only the distinct ones).

The product of its digits is 1343692800, while the sum is 66.

The spelling of 466332585233664 in words is "four hundred sixty-six trillion, three hundred thirty-two billion, five hundred eighty-five million, two hundred thirty-three thousand, six hundred sixty-four".