12789659203848 has 320 divisors, whose sum is σ = 38224978110000. Its totient is φ = 3981308018688.

The previous prime is 12789659203819. The next prime is 12789659203879. The reversal of 12789659203848 is 84830295698721.

12789659203848 is a `hidden beast` number, since 1 + 2 + 78 + 96 + 5 + 92 + 0 + 384 + 8 = 666.

12789659203848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10306141661124 + 2483517542724 = 3210318^2 + 1575918^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1794029148 + ... + 1794036276.

It is a 2-persistent number, because it is pandigital, and so is 2⋅12789659203848 = 25579318407696, but 3⋅12789659203848 = 38368977611544 is not.

Almost surely, 2^{12789659203848} is an apocalyptic number.

12789659203848 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 12789659203848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19112489055000).

12789659203848 is an abundant number, since it is smaller than the sum of its proper divisors (25435318906152).

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

12789659203848 is a wasteful number, since it uses less digits than its factorization.

12789659203848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8406 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 12789659203848 in words is "twelve trillion, seven hundred eighty-nine billion, six hundred fifty-nine million, two hundred three thousand, eight hundred forty-eight".