112161216384 has 288 divisors, whose sum is σ = 384615635040. Its totient is φ = 31263805440.

The previous prime is 112161216367. The next prime is 112161216389. The reversal of 112161216384 is 483612161211.

112161216384 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 6 + 12 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×112161216384³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (112161216389) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2290137 + ... + 2338599.

It is an arithmetic number, because the mean of its divisors is an integer number (1335470955).

Almost surely, 2^112161216384 is an apocalyptic number.

112161216384 is a gapful number since it is divisible by the number (14) 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 112161216384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192307817520).

112161216384 is an abundant number, since it is smaller than the sum of its proper divisors (272454418656).

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

112161216384 is a wasteful number, since it uses less digits than its factorization.

112161216384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48538 (or 48516 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

Adding to 112161216384 its reverse (483612161211), we get a palindrome (595773377595).

The spelling of 112161216384 in words is "one hundred twelve billion, one hundred sixty-one million, two hundred sixteen thousand, three hundred eighty-four".