466422224664 has 128 divisors (see below), whose sum is σ = 1308400289280. Its totient is φ = 137313792000.

The previous prime is 466422224629. The next prime is 466422224707.

466422224664 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6538389 + ... + 6609339.

It is an arithmetic number, because the mean of its divisors is an integer number (10221877260).

Almost surely, 2^466422224664 is an apocalyptic number.

466422224664 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 466422224664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654200144640).

466422224664 is an abundant number, since it is smaller than the sum of its proper divisors (841978064616).

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

466422224664 is a wasteful number, since it uses less digits than its factorization.

466422224664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71681 (or 71677 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

The spelling of 466422224664 in words is "four hundred sixty-six billion, four hundred twenty-two million, two hundred twenty-four thousand, six hundred sixty-four".