461466664164 has 288 divisors, whose sum is σ = 1394346038400. Its totient is φ = 131428915200.

The previous prime is 461466664133. The next prime is 461466664193.

461466664164 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 461466664164.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286802592 + ... + 286804200.

It is an arithmetic number, because the mean of its divisors is an integer number (4841479300).

Almost surely, 2^461466664164 is an apocalyptic number.

461466664164 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 461466664164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697173019200).

461466664164 is an abundant number, since it is smaller than the sum of its proper divisors (932879374236).

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

461466664164 is a wasteful number, since it uses less digits than its factorization.

461466664164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2933 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 461466664164 in words is "four hundred sixty-one billion, four hundred sixty-six million, six hundred sixty-four thousand, one hundred sixty-four".