112786768134144 has 460 divisors, whose sum is σ = 362902647988804. Its totient is φ = 34702262009856.

The previous prime is 112786768134121. The next prime is 112786768134151. The reversal of 112786768134144 is 441431867687211.

112786768134144 is a `hidden beast` number, since 1 + 1 + 2 + 78 + 6 + 76 + 81 + 3 + 414 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 67276741017600 + 45510027116544 = 8202240^2 + 6746112^2 .

It is a super-2 number, since 2×112786768134144² (a number of 29 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 19 ways as a sum of consecutive naturals, for example, 4416589344 + ... + 4416614880.

Almost surely, 2^{112786768134144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112786768134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181451323994402).

112786768134144 is an abundant number, since it is smaller than the sum of its proper divisors (250115879854660).

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

112786768134144 is an frugal number, since it uses more digits than its factorization.

112786768134144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25606 (or 25555 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 112786768134144 in words is "one hundred twelve trillion, seven hundred eighty-six billion, seven hundred sixty-eight million, one hundred thirty-four thousand, one hundred forty-four".