112451740128 has 900 divisors, whose sum is σ = 430214555232. Its totient is φ = 28700904960.

The previous prime is 112451740117. The next prime is 112451740183. The reversal of 112451740128 is 821047154211.

112451740128 is a `hidden beast` number, since 1 + 1 + 245 + 1 + 7 + 401 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112451740092 and 112451740101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 3627475473 + ... + 3627475503.

Almost surely, 2^112451740128 is an apocalyptic number.

112451740128 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 112451740128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215107277616).

112451740128 is an abundant number, since it is smaller than the sum of its proper divisors (317762815104).

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

112451740128 is an frugal number, since it uses more digits than its factorization.

112451740128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 112451740128 its reverse (821047154211), we get a palindrome (933498894339).

The spelling of 112451740128 in words is "one hundred twelve billion, four hundred fifty-one million, seven hundred forty thousand, one hundred twenty-eight".