463330482048 has 320 divisors, whose sum is σ = 1579511387520. Its totient is φ = 132072145920.

The previous prime is 463330482001. The next prime is 463330482059. The reversal of 463330482048 is 840284033364.

463330482048 is a `hidden beast` number, since 4 + 633 + 3 + 0 + 4 + 8 + 2 + 0 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 463330481994 and 463330482012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32143963 + ... + 32158373.

It is an arithmetic number, because the mean of its divisors is an integer number (4935973086).

Almost surely, 2^463330482048 is an apocalyptic number.

463330482048 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 463330482048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789755693760).

463330482048 is an abundant number, since it is smaller than the sum of its proper divisors (1116180905472).

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

463330482048 is a wasteful number, since it uses less digits than its factorization.

463330482048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14887 (or 14866 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 463330482048 in words is "four hundred sixty-three billion, three hundred thirty million, four hundred eighty-two thousand, forty-eight".