12688526271456 has 108 divisors (see below), whose sum is σ = 41974098114312. Its totient is φ = 3625293216384.

The previous prime is 12688526271451. The next prime is 12688526271523. The reversal of 12688526271456 is 65417262588621.

It is a happy number.

12688526271456 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 8 + 52 + 62 + 71 + 456 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12688526271393 and 12688526271402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12688526271451) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 449551020 + ... + 449579243.

It is an arithmetic number, because the mean of its divisors is an integer number (388649056614).

Almost surely, 2^{12688526271456} is an apocalyptic number.

12688526271456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12688526271456 is an abundant number, since it is smaller than the sum of its proper divisors (29285571842856).

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

12688526271456 is a wasteful number, since it uses less digits than its factorization.

12688526271456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899130293 (or 899130275 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 63.

The spelling of 12688526271456 in words is "twelve trillion, six hundred eighty-eight billion, five hundred twenty-six million, two hundred seventy-one thousand, four hundred fifty-six".