12638005632 has 192 divisors, whose sum is σ = 44007818400. Its totient is φ = 3398418432.

The previous prime is 12638005619. The next prime is 12638005637. The reversal of 12638005632 is 23650083621.

It is a happy number.

12638005632 is a `hidden beast` number, since 12 + 6 + 3 + 8 + 0 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638005637) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 90994 + ... + 183182.

Almost surely, 2^12638005632 is an apocalyptic number.

12638005632 is a gapful number since it is divisible by the number (12) 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 12638005632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22003909200).

12638005632 is an abundant number, since it is smaller than the sum of its proper divisors (31369812768).

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

12638005632 is a wasteful number, since it uses less digits than its factorization.

12638005632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92233 (or 92218 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 12638005632 in words is "twelve billion, six hundred thirty-eight million, five thousand, six hundred thirty-two".