12961678338 has 96 divisors (see below), whose sum is σ = 32348160000. Its totient is φ = 3674312928.

The previous prime is 12961678333. The next prime is 12961678351. The reversal of 12961678338 is 83387616921.

12961678338 is a `hidden beast` number, since 1 + 296 + 16 + 7 + 8 + 338 = 666.

It is not an unprimeable number, because it can be changed into a prime (12961678333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15018895 + ... + 15019757.

It is an arithmetic number, because the mean of its divisors is an integer number (336960000).

Almost surely, 2^12961678338 is an apocalyptic number.

12961678338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12961678338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080000).

12961678338 is an abundant number, since it is smaller than the sum of its proper divisors (19386481662).

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

12961678338 is a wasteful number, since it uses less digits than its factorization.

12961678338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1673 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 12961678338 in words is "twelve billion, nine hundred sixty-one million, six hundred seventy-eight thousand, three hundred thirty-eight".