112728627648 has 672 divisors, whose sum is σ = 427089027456. Its totient is φ = 27582529536.

The previous prime is 112728627623. The next prime is 112728627691. The reversal of 112728627648 is 846726827211.

112728627648 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 2 + 8 + 627 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 112728627594 and 112728627603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65047390 + ... + 65049122.

It is an arithmetic number, because the mean of its divisors is an integer number (635549148).

Almost surely, 2^112728627648 is an apocalyptic number.

112728627648 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 112728627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213544513728).

112728627648 is an abundant number, since it is smaller than the sum of its proper divisors (314360399808).

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

112728627648 is a wasteful number, since it uses less digits than its factorization.

112728627648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861 (or 1848 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 112728627648 in words is "one hundred twelve billion, seven hundred twenty-eight million, six hundred twenty-seven thousand, six hundred forty-eight".