112241600640 has 512 divisors, whose sum is σ = 435172147200. Its totient is φ = 27172454400.

The previous prime is 112241600561. The next prime is 112241600693. The reversal of 112241600640 is 46006142211.

112241600640 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 16 + 0 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 13698945 + ... + 13707135.

It is an arithmetic number, because the mean of its divisors is an integer number (849945600).

Almost surely, 2^112241600640 is an apocalyptic number.

112241600640 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 112241600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217586073600).

112241600640 is an abundant number, since it is smaller than the sum of its proper divisors (322930546560).

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

112241600640 is a wasteful number, since it uses less digits than its factorization.

112241600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8293 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 112241600640 its reverse (46006142211), we get a palindrome (158247742851).

The spelling of 112241600640 in words is "one hundred twelve billion, two hundred forty-one million, six hundred thousand, six hundred forty".