461266662164 has 96 divisors (see below), whose sum is σ = 1054064793600. Its totient is φ = 171260876160.

The previous prime is 461266662163. The next prime is 461266662167.

461266662164 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 (461266662163) 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, 1784567 + ... + 2026625.

It is an arithmetic number, because the mean of its divisors is an integer number (10979841600).

Almost surely, 2^461266662164 is an apocalyptic number.

461266662164 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 461266662164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527032396800).

461266662164 is an abundant number, since it is smaller than the sum of its proper divisors (592798131436).

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

461266662164 is a wasteful number, since it uses less digits than its factorization.

461266662164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242373 (or 242371 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 50.

The spelling of 461266662164 in words is "four hundred sixty-one billion, two hundred sixty-six million, six hundred sixty-two thousand, one hundred sixty-four".