461352323253164 has 48 divisors (see below), whose sum is σ = 938454117269760. Its totient is φ = 194348326296000.

The previous prime is 461352323253121. The next prime is 461352323253179.

461352323253164 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 2382002 + ... + 30469305.

It is an arithmetic number, because the mean of its divisors is an integer number (19551127443120).

Almost surely, 2^{461352323253164} is an apocalyptic number.

It is an amenable number.

461352323253164 is an abundant number, since it is smaller than the sum of its proper divisors (477101794016596).

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

461352323253164 is a wasteful number, since it uses less digits than its factorization.

461352323253164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32859878 (or 32859876 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 50.

The spelling of 461352323253164 in words is "four hundred sixty-one trillion, three hundred fifty-two billion, three hundred twenty-three million, two hundred fifty-three thousand, one hundred sixty-four".