112159346544 has 480 divisors, whose sum is σ = 394618314240. Its totient is φ = 30351670272.

The previous prime is 112159346501. The next prime is 112159346549. The reversal of 112159346544 is 445643951211.

112159346544 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 593 + 4 + 6 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112159346544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112159346549) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52093372 + ... + 52095524.

It is an arithmetic number, because the mean of its divisors is an integer number (822121488).

Almost surely, 2^112159346544 is an apocalyptic number.

112159346544 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 112159346544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197309157120).

112159346544 is an abundant number, since it is smaller than the sum of its proper divisors (282458967696).

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

112159346544 is a wasteful number, since it uses less digits than its factorization.

112159346544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2295 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The spelling of 112159346544 in words is "one hundred twelve billion, one hundred fifty-nine million, three hundred forty-six thousand, five hundred forty-four".