461136631164 has 24 divisors (see below), whose sum is σ = 1173802334208. Its totient is φ = 139738373040.

The previous prime is 461136631157. The next prime is 461136631183.

461136631164 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1746729532 + ... + 1746729795.

It is an arithmetic number, because the mean of its divisors is an integer number (48908430592).

Almost surely, 2^461136631164 is an apocalyptic number.

461136631164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461136631164 is an abundant number, since it is smaller than the sum of its proper divisors (712665703044).

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

461136631164 is a wasteful number, since it uses less digits than its factorization.

461136631164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493459345 (or 3493459343 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 461136631164 in words is "four hundred sixty-one billion, one hundred thirty-six million, six hundred thirty-one thousand, one hundred sixty-four".