112434216960 has 576 divisors, whose sum is σ = 399531097728. Its totient is φ = 26826768384.

The previous prime is 112434216931. The next prime is 112434217009. The reversal of 112434216960 is 69612434211.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1354629079 + ... + 1354629161.

It is an arithmetic number, because the mean of its divisors is an integer number (693630378).

Almost surely, 2^112434216960 is an apocalyptic number.

112434216960 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 112434216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199765548864).

112434216960 is an abundant number, since it is smaller than the sum of its proper divisors (287096880768).

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

112434216960 is an frugal number, since it uses more digits than its factorization.

112434216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 112434216960 in words is "one hundred twelve billion, four hundred thirty-four million, two hundred sixteen thousand, nine hundred sixty".