112530663648 has 576 divisors, whose sum is σ = 374250240000. Its totient is φ = 31805706240.

The previous prime is 112530663643. The next prime is 112530663649. The reversal of 112530663648 is 846366035211.

112530663648 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 0 + 6 + 636 + 4 + 8 = 666.

It is a super-2 number, since 2×112530663648² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112530663643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225512103 + ... + 225512601.

It is an arithmetic number, because the mean of its divisors is an integer number (649740000).

Almost surely, 2^112530663648 is an apocalyptic number.

112530663648 is a gapful number since it is divisible by the number (18) 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 112530663648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120000).

112530663648 is an abundant number, since it is smaller than the sum of its proper divisors (261719576352).

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

112530663648 is a wasteful number, since it uses less digits than its factorization.

112530663648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 112530663648 its reverse (846366035211), we get a palindrome (958896698859).

The spelling of 112530663648 in words is "one hundred twelve billion, five hundred thirty million, six hundred sixty-three thousand, six hundred forty-eight".