112147918848 has 520 divisors, whose sum is σ = 392131084928. Its totient is φ = 31269224448.

The previous prime is 112147918847. The next prime is 112147918849. The reversal of 112147918848 is 848819741211.

It is a happy number.

112147918848 is a `hidden beast` number, since 1 + 121 + 479 + 1 + 8 + 8 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (112147918847) and next prime (112147918849).

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 junction number, because it is equal to n+sod(n) for n = 112147918794 and 112147918803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112147918843) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99864015 + ... + 99865137.

Almost surely, 2^112147918848 is an apocalyptic number.

112147918848 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 112147918848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196065542464).

112147918848 is an abundant number, since it is smaller than the sum of its proper divisors (279983166080).

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

112147918848 is an equidigital number, since it uses as much as digits as its factorization.

112147918848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1178 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 54.

The spelling of 112147918848 in words is "one hundred twelve billion, one hundred forty-seven million, nine hundred eighteen thousand, eight hundred forty-eight".