112714842240 has 1536 divisors, whose sum is σ = 530259125760. Its totient is φ = 21304442880.

The previous prime is 112714842209. The next prime is 112714842241. The reversal of 112714842240 is 42248417211.

It is a happy number.

112714842240 is a `hidden beast` number, since 112 + 7 + 1 + 484 + 22 + 40 = 666.

It is a super-2 number, since 2×112714842240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112714842195 and 112714842204.

It is not an unprimeable number, because it can be changed into a prime (112714842241) 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, 651530794 + ... + 651530966.

It is an arithmetic number, because the mean of its divisors is an integer number (345220785).

Almost surely, 2^112714842240 is an apocalyptic number.

112714842240 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 112714842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265129562880).

112714842240 is an abundant number, since it is smaller than the sum of its proper divisors (417544283520).

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

112714842240 is a wasteful number, since it uses less digits than its factorization.

112714842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 112714842240 in words is "one hundred twelve billion, seven hundred fourteen million, eight hundred forty-two thousand, two hundred forty".