112169828160 has 448 divisors, whose sum is σ = 428259605760. Its totient is φ = 27474370560.

The previous prime is 112169828129. The next prime is 112169828191. The reversal of 112169828160 is 61828961211.

It is a happy number.

112169828160 is a `hidden beast` number, since 11 + 216 + 98 + 281 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (112169828129) and next prime (112169828191).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23697154 + ... + 23701886.

It is an arithmetic number, because the mean of its divisors is an integer number (955936620).

Almost surely, 2^112169828160 is an apocalyptic number.

112169828160 is a gapful number since it is divisible by the number (10) 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 112169828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214129802880).

112169828160 is an abundant number, since it is smaller than the sum of its proper divisors (316089777600).

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

112169828160 is a wasteful number, since it uses less digits than its factorization.

112169828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4983 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 112169828160 in words is "one hundred twelve billion, one hundred sixty-nine million, eight hundred twenty-eight thousand, one hundred sixty".