112215248640 has 720 divisors, whose sum is σ = 445485924576. Its totient is φ = 26741145600.

The previous prime is 112215248617. The next prime is 112215248669. The reversal of 112215248640 is 46842512211.

112215248640 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 5 + 2 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 112215248595 and 112215248604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69568474 + ... + 69570086.

Almost surely, 2^112215248640 is an apocalyptic number.

112215248640 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 112215248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222742962288).

112215248640 is an abundant number, since it is smaller than the sum of its proper divisors (333270675936).

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

112215248640 is a wasteful number, since it uses less digits than its factorization.

112215248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 112215248640 in words is "one hundred twelve billion, two hundred fifteen million, two hundred forty-eight thousand, six hundred forty".