461442244164 has 192 divisors, whose sum is σ = 1240714395648. Its totient is φ = 132114153600.

The previous prime is 461442244163. The next prime is 461442244177.

461442244164 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (461442244163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138527979 + ... + 138531309.

It is an arithmetic number, because the mean of its divisors is an integer number (6462054144).

Almost surely, 2^461442244164 is an apocalyptic number.

461442244164 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 461442244164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620357197824).

461442244164 is an abundant number, since it is smaller than the sum of its proper divisors (779272151484).

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

461442244164 is a wasteful number, since it uses less digits than its factorization.

461442244164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918 (or 3916 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

The spelling of 461442244164 in words is "four hundred sixty-one billion, four hundred forty-two million, two hundred forty-four thousand, one hundred sixty-four".