112484218896 has 180 divisors, whose sum is σ = 366812689152. Its totient is φ = 32084180352.

The previous prime is 112484218879. The next prime is 112484218933. The reversal of 112484218896 is 698812484211.

112484218896 is a `hidden beast` number, since 1 + 12 + 48 + 421 + 88 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4269861 + ... + 4296123.

Almost surely, 2^112484218896 is an apocalyptic number.

112484218896 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 112484218896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183406344576).

112484218896 is an abundant number, since it is smaller than the sum of its proper divisors (254328470256).

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

112484218896 is a wasteful number, since it uses less digits than its factorization.

112484218896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26898 (or 26882 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The spelling of 112484218896 in words is "one hundred twelve billion, four hundred eighty-four million, two hundred eighteen thousand, eight hundred ninety-six".