112636379164608 has 672 divisors, whose sum is σ = 369438798718080. Its totient is φ = 32503737876480.

The previous prime is 112636379164601. The next prime is 112636379164627. The reversal of 112636379164608 is 806461973636211.

It is a happy number.

112636379164608 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 3 + 6 + 3 + 7 + 9 + 16 + 4 + 608 = 666.

112636379164608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×112636379164608² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112636379164601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55240989253 + ... + 55240991291.

It is an arithmetic number, because the mean of its divisors is an integer number (549760117140).

Almost surely, 2^{112636379164608} is an apocalyptic number.

112636379164608 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 112636379164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184719399359040).

112636379164608 is an abundant number, since it is smaller than the sum of its proper divisors (256802419553472).

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

112636379164608 is a wasteful number, since it uses less digits than its factorization.

112636379164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 112636379164608 in words is "one hundred twelve trillion, six hundred thirty-six billion, three hundred seventy-nine million, one hundred sixty-four thousand, six hundred eight".