461561165164 has 72 divisors (see below), whose sum is σ = 932012928000. Its totient is φ = 199591154400.

The previous prime is 461561165159. The next prime is 461561165201.

It is a happy number.

461561165164 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 624537 + ... + 1145935.

It is an arithmetic number, because the mean of its divisors is an integer number (12944624000).

Almost surely, 2^461561165164 is an apocalyptic number.

461561165164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461561165164 is an abundant number, since it is smaller than the sum of its proper divisors (470451762836).

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

461561165164 is a wasteful number, since it uses less digits than its factorization.

461561165164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521515 (or 521502 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The spelling of 461561165164 in words is "four hundred sixty-one billion, five hundred sixty-one million, one hundred sixty-five thousand, one hundred sixty-four".