112986643968 has 240 divisors, whose sum is σ = 374457283200. Its totient is φ = 32436080640.

The previous prime is 112986643933. The next prime is 112986643969. The reversal of 112986643968 is 869346689211.

112986643968 is a `hidden beast` number, since 112 + 9 + 86 + 6 + 439 + 6 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112986643969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904413 + ... + 1021731.

It is an arithmetic number, because the mean of its divisors is an integer number (1560238680).

Almost surely, 2^112986643968 is an apocalyptic number.

112986643968 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 112986643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187228641600).

112986643968 is an abundant number, since it is smaller than the sum of its proper divisors (261470639232).

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

112986643968 is a wasteful number, since it uses less digits than its factorization.

112986643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117373 (or 117354 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The spelling of 112986643968 in words is "one hundred twelve billion, nine hundred eighty-six million, six hundred forty-three thousand, nine hundred sixty-eight".