12788714484 has 480 divisors, whose sum is σ = 44555723520. Its totient is φ = 3103930368.

The previous prime is 12788714483. The next prime is 12788714489. The reversal of 12788714484 is 48441788721.

12788714484 is a `hidden beast` number, since 1 + 2 + 78 + 87 + 14 + 484 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 12788714484.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788714483) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20726944 + ... + 20727560.

It is an arithmetic number, because the mean of its divisors is an integer number (92824424).

Almost surely, 2^12788714484 is an apocalyptic number.

12788714484 is a gapful number since it is divisible by the number (14) 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 12788714484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22277861760).

12788714484 is an abundant number, since it is smaller than the sum of its proper divisors (31767009036).

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

12788714484 is a wasteful number, since it uses less digits than its factorization.

12788714484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 698 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The spelling of 12788714484 in words is "twelve billion, seven hundred eighty-eight million, seven hundred fourteen thousand, four hundred eighty-four".