461313313164 has 36 divisors (see below), whose sum is σ = 1272106410120. Its totient is φ = 139791912960.

The previous prime is 461313313091. The next prime is 461313313187.

461313313164 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 1 + 331 + 316 + 4 = 666.

461313313164 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582465909 + ... + 582466700.

It is an arithmetic number, because the mean of its divisors is an integer number (35336289170).

Almost surely, 2^461313313164 is an apocalyptic number.

461313313164 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

461313313164 is an abundant number, since it is smaller than the sum of its proper divisors (810793096956).

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

461313313164 is a wasteful number, since it uses less digits than its factorization.

461313313164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164932630 (or 1164932625 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

It can be divided in two parts, 461313 and 313164, that added together give a palindrome (774477).

The spelling of 461313313164 in words is "four hundred sixty-one billion, three hundred thirteen million, three hundred thirteen thousand, one hundred sixty-four".