12891178368 has 384 divisors, whose sum is σ = 42198624000. Its totient is φ = 3755372544.

The previous prime is 12891178343. The next prime is 12891178411. The reversal of 12891178368 is 86387119821.

12891178368 is a `hidden beast` number, since 1 + 28 + 91 + 178 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12891178368² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14598855 + ... + 14599737.

It is an arithmetic number, because the mean of its divisors is an integer number (109892250).

Almost surely, 2^12891178368 is an apocalyptic number.

12891178368 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 12891178368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099312000).

12891178368 is an abundant number, since it is smaller than the sum of its proper divisors (29307445632).

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

12891178368 is a wasteful number, since it uses less digits than its factorization.

12891178368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 959 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 12891178368 in words is "twelve billion, eight hundred ninety-one million, one hundred seventy-eight thousand, three hundred sixty-eight".