12877414368 has 192 divisors, whose sum is σ = 41681428992. Its totient is φ = 3389921280.

The previous prime is 12877414313. The next prime is 12877414397. The reversal of 12877414368 is 86341477821.

It is a super-3 number, since 3×12877414368³ (a number of 31 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12877414368.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6402483 + ... + 6404493.

It is an arithmetic number, because the mean of its divisors is an integer number (217090776).

Almost surely, 2^12877414368 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 12877414368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20840714496).

12877414368 is an abundant number, since it is smaller than the sum of its proper divisors (28804014624).

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

12877414368 is a wasteful number, since it uses less digits than its factorization.

12877414368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2769 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The spelling of 12877414368 in words is "twelve billion, eight hundred seventy-seven million, four hundred fourteen thousand, three hundred sixty-eight".