12638385091584 has 1056 divisors, whose sum is σ = 45816059068416. Its totient is φ = 3272213790720.

The previous prime is 12638385091583. The next prime is 12638385091663. The reversal of 12638385091584 is 48519058383621.

12638385091584 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 8 + 38 + 509 + 15 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638385091583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7581513919 + ... + 7581515585.

Almost surely, 2^{12638385091584} is an apocalyptic number.

12638385091584 is a gapful number since it is divisible by the number (14) 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 12638385091584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22908029534208).

12638385091584 is an abundant number, since it is smaller than the sum of its proper divisors (33177673976832).

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

12638385091584 is a wasteful number, since it uses less digits than its factorization.

12638385091584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 12638385091584 in words is "twelve trillion, six hundred thirty-eight billion, three hundred eighty-five million, ninety-one thousand, five hundred eighty-four".