112456666528128 has 512 divisors, whose sum is σ = 363649910400000. Its totient is φ = 34000855695360.

The previous prime is 112456666528109. The next prime is 112456666528169. The reversal of 112456666528128 is 821825666654211.

It is a super-3 number, since 3×112456666528128³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7186180848 + ... + 7186196496.

It is an arithmetic number, because the mean of its divisors is an integer number (710253731250).

Almost surely, 2^{112456666528128} is an apocalyptic number.

112456666528128 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 112456666528128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181824955200000).

112456666528128 is an abundant number, since it is smaller than the sum of its proper divisors (251193243871872).

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

112456666528128 is a wasteful number, since it uses less digits than its factorization.

112456666528128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18455 (or 18437 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 112456666528128 in words is "one hundred twelve trillion, four hundred fifty-six billion, six hundred sixty-six million, five hundred twenty-eight thousand, one hundred twenty-eight".