463630000128 has 224 divisors, whose sum is σ = 1285190516736. Its totient is φ = 148530659328.

The previous prime is 463630000039. The next prime is 463630000151. The reversal of 463630000128 is 821000036364.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75469825 + ... + 75475967.

It is an arithmetic number, because the mean of its divisors is an integer number (5737457664).

Almost surely, 2^463630000128 is an apocalyptic number.

463630000128 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 463630000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642595258368).

463630000128 is an abundant number, since it is smaller than the sum of its proper divisors (821560516608).

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

463630000128 is an equidigital number, since it uses as much as digits as its factorization.

463630000128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 463630000128 in words is "four hundred sixty-three billion, six hundred thirty million, one hundred twenty-eight", and thus it is an aban number.