112171389408 has 432 divisors, whose sum is σ = 379351876176. Its totient is φ = 32477552640.

The previous prime is 112171389389. The next prime is 112171389439. The reversal of 112171389408 is 804983171211.

It is a happy number.

112171389408 is a `hidden beast` number, since 11 + 217 + 1 + 389 + 40 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22337938 + ... + 22342958.

It is an arithmetic number, because the mean of its divisors is an integer number (878129343).

Almost surely, 2^112171389408 is an apocalyptic number.

112171389408 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 112171389408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189675938088).

112171389408 is an abundant number, since it is smaller than the sum of its proper divisors (267180486768).

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

112171389408 is a wasteful number, since it uses less digits than its factorization.

112171389408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5056 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

It can be divided in two parts, 1121713 and 89408, that added together give a palindrome (1211121).

The spelling of 112171389408 in words is "one hundred twelve billion, one hundred seventy-one million, three hundred eighty-nine thousand, four hundred eight".