12789036014656 has 112 divisors (see below), whose sum is σ = 28283699957760. Its totient is φ = 5687643077120.

The previous prime is 12789036014647. The next prime is 12789036014687. The reversal of 12789036014656 is 65641063098721.

12789036014656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12789036014656.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103139511 + ... + 103263433.

It is a 1-persistent number, because it is pandigital, but 2⋅12789036014656 = 25578072029312 is not.

Almost surely, 2^{12789036014656} is an apocalyptic number.

12789036014656 is a gapful number since it is divisible by the number (16) 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 12789036014656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141849978880).

12789036014656 is an abundant number, since it is smaller than the sum of its proper divisors (15494663943104).

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

12789036014656 is a wasteful number, since it uses less digits than its factorization.

12789036014656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127112 (or 127102 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 12789036014656 in words is "twelve trillion, seven hundred eighty-nine billion, thirty-six million, fourteen thousand, six hundred fifty-six".