461238832164 has 96 divisors (see below), whose sum is σ = 1267354045440. Its totient is φ = 129082307200.

The previous prime is 461238832147. The next prime is 461238832169.

461238832164 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (461238832169) 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 31 ways as a sum of consecutive naturals, for example, 2531322 + ... + 2707409.

It is an arithmetic number, because the mean of its divisors is an integer number (13201604640).

Almost surely, 2^461238832164 is an apocalyptic number.

461238832164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461238832164 is an abundant number, since it is smaller than the sum of its proper divisors (806115213276).

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

461238832164 is a wasteful number, since it uses less digits than its factorization.

461238832164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238801 (or 5238799 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 461238832164 in words is "four hundred sixty-one billion, two hundred thirty-eight million, eight hundred thirty-two thousand, one hundred sixty-four".