112434678720 has 1344 divisors, whose sum is σ = 513702604800. Its totient is φ = 22922403840.

The previous prime is 112434678679. The next prime is 112434678721. The reversal of 112434678720 is 27876434211.

112434678720 is a `hidden beast` number, since 112 + 4 + 3 + 467 + 8 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112434678721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 170613751 + ... + 170614409.

It is an arithmetic number, because the mean of its divisors is an integer number (382219200).

Almost surely, 2^112434678720 is an apocalyptic number.

112434678720 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 112434678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256851302400).

112434678720 is an abundant number, since it is smaller than the sum of its proper divisors (401267926080).

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

112434678720 is a wasteful number, since it uses less digits than its factorization.

112434678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 112434678720 in words is "one hundred twelve billion, four hundred thirty-four million, six hundred seventy-eight thousand, seven hundred twenty".