461456142450336 has 72 divisors (see below), whose sum is σ = 1431562805565984. Its totient is φ = 139835194680960.

The previous prime is 461456142450253. The next prime is 461456142450491. The reversal of 461456142450336 is 633054241654164.

461456142450336 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 5 + 61 + 4 + 245 + 0 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 72830827396 + ... + 72830833731.

It is an arithmetic number, because the mean of its divisors is an integer number (19882816743972).

Almost surely, 2^{461456142450336} is an apocalyptic number.

It is an amenable number.

461456142450336 is an abundant number, since it is smaller than the sum of its proper divisors (970106663115648).

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

461456142450336 is a wasteful number, since it uses less digits than its factorization.

461456142450336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145661661154 (or 145661661143 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 461456142450336 in words is "four hundred sixty-one trillion, four hundred fifty-six billion, one hundred forty-two million, four hundred fifty thousand, three hundred thirty-six".