461362343263164 has 96 divisors (see below), whose sum is σ = 1367005668940800. Its totient is φ = 131817220931520.

The previous prime is 461362343263141. The next prime is 461362343263169.

461362343263164 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 623 + 4 + 3 + 2 + 6 + 3 + 1 + 6 + 4 = 666.

461362343263164 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 461362343263164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461362343263169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183791134 + ... + 186284474.

It is an arithmetic number, because the mean of its divisors is an integer number (14239642384800).

Almost surely, 2^{461362343263164} is an apocalyptic number.

It is an amenable number.

461362343263164 is an abundant number, since it is smaller than the sum of its proper divisors (905643325677636).

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

461362343263164 is a wasteful number, since it uses less digits than its factorization.

461362343263164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738120 (or 2738112 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 54.

The spelling of 461362343263164 in words is "four hundred sixty-one trillion, three hundred sixty-two billion, three hundred forty-three million, two hundred sixty-three thousand, one hundred sixty-four".