12638158151424 has 432 divisors, whose sum is σ = 38472355393920. Its totient is φ = 3671214243840.

The previous prime is 12638158151401. The next prime is 12638158151429. The reversal of 12638158151424 is 42415185183621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638158151429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 722543319 + ... + 722560809.

Almost surely, 2^{12638158151424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12638158151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19236177696960).

12638158151424 is an abundant number, since it is smaller than the sum of its proper divisors (25834197242496).

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

12638158151424 is a wasteful number, since it uses less digits than its factorization.

12638158151424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17848 (or 17821 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 51.

The spelling of 12638158151424 in words is "twelve trillion, six hundred thirty-eight billion, one hundred fifty-eight million, one hundred fifty-one thousand, four hundred twenty-four".