112408128756 has 672 divisors, whose sum is σ = 397949932800. Its totient is φ = 27433728000.

The previous prime is 112408128737. The next prime is 112408128761. The reversal of 112408128756 is 657821804211.

112408128756 is a `hidden beast` number, since 1 + 1 + 240 + 81 + 287 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 187034856 + ... + 187035456.

It is an arithmetic number, because the mean of its divisors is an integer number (592187400).

Almost surely, 2^112408128756 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 112408128756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198974966400).

112408128756 is an abundant number, since it is smaller than the sum of its proper divisors (285541804044).

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

112408128756 is a wasteful number, since it uses less digits than its factorization.

112408128756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 112408128756 in words is "one hundred twelve billion, four hundred eight million, one hundred twenty-eight thousand, seven hundred fifty-six".