461775577164 has 72 divisors (see below), whose sum is σ = 1186608641904. Its totient is φ = 139663180800.

The previous prime is 461775577139. The next prime is 461775577171.

461775577164 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 461775577098 and 461775577107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 451284 + ... + 1061700.

It is an arithmetic number, because the mean of its divisors is an integer number (16480675582).

Almost surely, 2^461775577164 is an apocalyptic number.

461775577164 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 461775577164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593304320952).

461775577164 is an abundant number, since it is smaller than the sum of its proper divisors (724833064740).

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

461775577164 is a wasteful number, since it uses less digits than its factorization.

461775577164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610967 (or 610954 counting only the distinct ones).

The product of its digits is 34574400, while the sum is 60.

The spelling of 461775577164 in words is "four hundred sixty-one billion, seven hundred seventy-five million, five hundred seventy-seven thousand, one hundred sixty-four".