461830336128 has 320 divisors, whose sum is σ = 1578928845120. Its totient is φ = 131263856640.

The previous prime is 461830336063. The next prime is 461830336133. The reversal of 461830336128 is 821633038164.

461830336128 is a `hidden beast` number, since 4 + 618 + 3 + 0 + 3 + 3 + 6 + 1 + 28 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13990683 + ... + 14023653.

It is an arithmetic number, because the mean of its divisors is an integer number (4934152641).

Almost surely, 2^461830336128 is an apocalyptic number.

461830336128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461830336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789464422560).

461830336128 is an abundant number, since it is smaller than the sum of its proper divisors (1117098508992).

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

461830336128 is a wasteful number, since it uses less digits than its factorization.

461830336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33197 (or 33176 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 461830336128 in words is "four hundred sixty-one billion, eight hundred thirty million, three hundred thirty-six thousand, one hundred twenty-eight".