12878486146368 has 196 divisors, whose sum is σ = 38333205675828. Its totient is φ = 4290911262720.

The previous prime is 12878486146277. The next prime is 12878486146429. The reversal of 12878486146368 is 86364168487821.

12878486146368 is a `hidden beast` number, since 1 + 2 + 8 + 7 + 8 + 48 + 61 + 463 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9818897454144 + 3059588692224 = 3133512^2 + 1749168^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12878486146296 and 12878486146305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 106361830 + ... + 106482842.

Almost surely, 2^{12878486146368} is an apocalyptic number.

12878486146368 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 12878486146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19166602837914).

12878486146368 is an abundant number, since it is smaller than the sum of its proper divisors (25454719529460).

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

12878486146368 is an equidigital number, since it uses as much as digits as its factorization.

12878486146368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123324 (or 123299 counting only the distinct ones).

The product of its digits is 594542592, while the sum is 72.

The spelling of 12878486146368 in words is "twelve trillion, eight hundred seventy-eight billion, four hundred eighty-six million, one hundred forty-six thousand, three hundred sixty-eight".