112891948128 has 96 divisors (see below), whose sum is σ = 330246090720. Its totient is φ = 37518888960.

The previous prime is 112891948067. The next prime is 112891948129. The reversal of 112891948128 is 821849198211.

112891948128 is a `hidden beast` number, since 1 + 128 + 9 + 19 + 481 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112891948129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97308 + ... + 485028.

It is an arithmetic number, because the mean of its divisors is an integer number (3440063445).

Almost surely, 2^112891948128 is an apocalyptic number.

112891948128 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 112891948128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165123045360).

112891948128 is an abundant number, since it is smaller than the sum of its proper divisors (217354142592).

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

112891948128 is a wasteful number, since it uses less digits than its factorization.

112891948128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388077 (or 388063 counting only the distinct ones).

The product of its digits is 663552, while the sum is 54.

The spelling of 112891948128 in words is "one hundred twelve billion, eight hundred ninety-one million, nine hundred forty-eight thousand, one hundred twenty-eight".