112984235136 has 384 divisors, whose sum is σ = 341837496000. Its totient is φ = 35788677120.

The previous prime is 112984235069. The next prime is 112984235141. The reversal of 112984235136 is 631532489211.

112984235136 is a `hidden beast` number, since 1 + 1 + 2 + 98 + 42 + 3 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 112984235091 and 112984235100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420015610 + ... + 420015878.

Almost surely, 2^112984235136 is an apocalyptic number.

112984235136 is a gapful number since it is divisible by the number (16) 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 112984235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170918748000).

112984235136 is an abundant number, since it is smaller than the sum of its proper divisors (228853260864).

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

112984235136 is a wasteful number, since it uses less digits than its factorization.

112984235136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 112984235136 in words is "one hundred twelve billion, nine hundred eighty-four million, two hundred thirty-five thousand, one hundred thirty-six".