12703428518688 has 336 divisors, whose sum is σ = 38505126492000. Its totient is φ = 4121206594560.

The previous prime is 12703428518681. The next prime is 12703428518719. The reversal of 12703428518688 is 88681582430721.

12703428518688 is a `hidden beast` number, since 1 + 2 + 7 + 0 + 3 + 428 + 51 + 86 + 88 = 666.

It is a super-2 number, since 2×12703428518688² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12703428518681) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 400735863 + ... + 400767561.

It is an arithmetic number, because the mean of its divisors is an integer number (114598590750).

Almost surely, 2^{12703428518688} is an apocalyptic number.

12703428518688 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 12703428518688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19252563246000).

12703428518688 is an abundant number, since it is smaller than the sum of its proper divisors (25801697973312).

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

12703428518688 is an equidigital number, since it uses as much as digits as its factorization.

12703428518688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32187 (or 32164 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 12703428518688 in words is "twelve trillion, seven hundred three billion, four hundred twenty-eight million, five hundred eighteen thousand, six hundred eighty-eight".