461323848518288 has 320 divisors, whose sum is σ = 1113306560391168. Its totient is φ = 180691788103680.

The previous prime is 461323848518287. The next prime is 461323848518399. The reversal of 461323848518288 is 882815848323164.

It is not an unprimeable number, because it can be changed into a prime (461323848518287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5859008456 + ... + 5859087192.

Almost surely, 2^{461323848518288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461323848518288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556653280195584).

461323848518288 is an abundant number, since it is smaller than the sum of its proper divisors (651982711872880).

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

461323848518288 is a wasteful number, since it uses less digits than its factorization.

461323848518288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79330 (or 79324 counting only the distinct ones).

The product of its digits is 566231040, while the sum is 71.

The spelling of 461323848518288 in words is "four hundred sixty-one trillion, three hundred twenty-three billion, eight hundred forty-eight million, five hundred eighteen thousand, two hundred eighty-eight".