112205979648 has 1120 divisors, whose sum is σ = 428186088000. Its totient is φ = 29132587008.

The previous prime is 112205979647. The next prime is 112205979667. The reversal of 112205979648 is 846979502211.

It is a happy number.

112205979648 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 597 + 9 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112205979594 and 112205979603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112205979647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3869171698 + ... + 3869171726.

Almost surely, 2^112205979648 is an apocalyptic number.

112205979648 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 112205979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214093044000).

112205979648 is an abundant number, since it is smaller than the sum of its proper divisors (315980108352).

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

112205979648 is an frugal number, since it uses more digits than its factorization.

112205979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 112205979648 in words is "one hundred twelve billion, two hundred five million, nine hundred seventy-nine thousand, six hundred forty-eight".