112885014528 has 896 divisors, whose sum is σ = 406906536960. Its totient is φ = 30470307840.

The previous prime is 112885014523. The next prime is 112885014533. The reversal of 112885014528 is 825410588211.

112885014528 is a `hidden beast` number, since 1 + 1 + 2 + 88 + 501 + 45 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (112885014523) and next prime (112885014533).

It is not an unprimeable number, because it can be changed into a prime (112885014523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1360060375 + ... + 1360060457.

It is an arithmetic number, because the mean of its divisors is an integer number (454136760).

Almost surely, 2^112885014528 is an apocalyptic number.

112885014528 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 112885014528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203453268480).

112885014528 is an abundant number, since it is smaller than the sum of its proper divisors (294021522432).

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

112885014528 is a wasteful number, since it uses less digits than its factorization.

112885014528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 112885014528 in words is "one hundred twelve billion, eight hundred eighty-five million, fourteen thousand, five hundred twenty-eight".