466214412664 has 256 divisors, whose sum is σ = 1200723148800. Its totient is φ = 163843430400.

The previous prime is 466214412661. The next prime is 466214412733.

466214412664 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466214412661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76689577 + ... + 76695655.

It is an arithmetic number, because the mean of its divisors is an integer number (4690324800).

Almost surely, 2^466214412664 is an apocalyptic number.

466214412664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466214412664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600361574400).

466214412664 is an abundant number, since it is smaller than the sum of its proper divisors (734508736136).

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

466214412664 is a wasteful number, since it uses less digits than its factorization.

466214412664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6330 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

It can be divided in two parts, 466214 and 412664, that added together give a palindrome (878878).

The spelling of 466214412664 in words is "four hundred sixty-six billion, two hundred fourteen million, four hundred twelve thousand, six hundred sixty-four".