12638858347908 has 144 divisors (see below), whose sum is σ = 35596879456320. Its totient is φ = 3754285210368.

The previous prime is 12638858347799. The next prime is 12638858347909. The reversal of 12638858347908 is 80974385883621.

12638858347908 is a `hidden beast` number, since 1 + 2 + 6 + 38 + 8 + 583 + 4 + 7 + 9 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (12638858347909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110188035 + ... + 110302677.

It is an arithmetic number, because the mean of its divisors is an integer number (247200551780).

It is a 1-persistent number, because it is pandigital, but 2⋅12638858347908 = 25277716695816 is not.

Almost surely, 2^{12638858347908} is an apocalyptic number.

12638858347908 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 12638858347908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17798439728160).

12638858347908 is an abundant number, since it is smaller than the sum of its proper divisors (22958021108412).

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

12638858347908 is a wasteful number, since it uses less digits than its factorization.

12638858347908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122818 (or 122813 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 12638858347908 in words is "twelve trillion, six hundred thirty-eight billion, eight hundred fifty-eight million, three hundred forty-seven thousand, nine hundred eight".