298112668605648 has 480 divisors, whose sum is σ = 982104900075936. Its totient is φ = 83562706501632.

The previous prime is 298112668605599. The next prime is 298112668605799. The reversal of 298112668605648 is 846506866211892.

298112668605648 is a `hidden beast` number, since 2 + 9 + 8 + 1 + 1 + 2 + 6 + 6 + 8 + 605 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 62428518973584 + 235684149632064 = 7901172^2 + 15352008^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226599286 + ... + 227911082.

Almost surely, 2^{298112668605648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298112668605648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491052450037968).

298112668605648 is an abundant number, since it is smaller than the sum of its proper divisors (683992231470288).

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

298112668605648 is a wasteful number, since it uses less digits than its factorization.

298112668605648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312071 (or 1312062 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 298112668605648 in words is "two hundred ninety-eight trillion, one hundred twelve billion, six hundred sixty-eight million, six hundred five thousand, six hundred forty-eight".