12788465147136 has 216 divisors, whose sum is σ = 42447365722944. Its totient is φ = 3627176140800.

The previous prime is 12788465147131. The next prime is 12788465147267. The reversal of 12788465147136 is 63174156488721.

12788465147136 is a `hidden beast` number, since 1 + 2 + 7 + 8 + 8 + 46 + 514 + 71 + 3 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12788465147131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684390 + ... + 5103461.

Almost surely, 2^{12788465147136} is an apocalyptic number.

12788465147136 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 12788465147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21223682861472).

12788465147136 is an abundant number, since it is smaller than the sum of its proper divisors (29658900575808).

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

12788465147136 is a wasteful number, since it uses less digits than its factorization.

12788465147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788017 (or 5788000 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 12788465147136 in words is "twelve trillion, seven hundred eighty-eight billion, four hundred sixty-five million, one hundred forty-seven thousand, one hundred thirty-six".