12963012285888 has 448 divisors, whose sum is σ = 46274696985600. Its totient is φ = 3485836062720.

The previous prime is 12963012285877. The next prime is 12963012285889. The reversal of 12963012285888 is 88858221036921.

12963012285888 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 30 + 12 + 2 + 8 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (12963012285889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59318583 + ... + 59536713.

Almost surely, 2^{12963012285888} is an apocalyptic number.

12963012285888 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 12963012285888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137348492800).

12963012285888 is an abundant number, since it is smaller than the sum of its proper divisors (33311684699712).

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

12963012285888 is an equidigital number, since it uses as much as digits as its factorization.

12963012285888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218210 (or 218160 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 12963012285888 in words is "twelve trillion, nine hundred sixty-three billion, twelve million, two hundred eighty-five thousand, eight hundred eighty-eight".