12629530368 has 864 divisors, whose sum is σ = 48997917696. Its totient is φ = 3153199104.

The previous prime is 12629530349. The next prime is 12629530393. The reversal of 12629530368 is 86303592621.

12629530368 is a `hidden beast` number, since 12 + 629 + 5 + 3 + 0 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130201296 + ... + 130201392.

Almost surely, 2^12629530368 is an apocalyptic number.

12629530368 is a gapful number since it is divisible by the number (18) 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 12629530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24498958848).

12629530368 is an abundant number, since it is smaller than the sum of its proper divisors (36368387328).

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

12629530368 is an equidigital number, since it uses as much as digits as its factorization.

12629530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12629530368 in words is "twelve billion, six hundred twenty-nine million, five hundred thirty thousand, three hundred sixty-eight".