112127838473448 has 768 divisors, whose sum is σ = 377759410560000. Its totient is φ = 30699438981120.

The previous prime is 112127838473419. The next prime is 112127838473477. The reversal of 112127838473448 is 844374838721211.

It is a happy number.

112127838473448 is a `hidden beast` number, since 1 + 1 + 2 + 127 + 8 + 38 + 473 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (112127838473419) and next prime (112127838473477).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13024486168 + ... + 13024494776.

It is an arithmetic number, because the mean of its divisors is an integer number (491874232500).

Almost surely, 2^{112127838473448} is an apocalyptic number.

112127838473448 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 112127838473448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188879705280000).

112127838473448 is an abundant number, since it is smaller than the sum of its proper divisors (265631572086552).

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

112127838473448 is a wasteful number, since it uses less digits than its factorization.

112127838473448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9175 (or 9158 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 112127838473448 in words is "one hundred twelve trillion, one hundred twenty-seven billion, eight hundred thirty-eight million, four hundred seventy-three thousand, four hundred forty-eight".