98753326848 has 576 divisors, whose sum is σ = 331304601600. Its totient is φ = 28753920000.

The previous prime is 98753326829. The next prime is 98753326879. The reversal of 98753326848 is 84862335789.

98753326848 is a `hidden beast` number, since 98 + 7 + 533 + 2 + 6 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 246267448 + ... + 246267848.

It is an arithmetic number, because the mean of its divisors is an integer number (575181600).

Almost surely, 2^98753326848 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 98753326848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165652300800).

98753326848 is an abundant number, since it is smaller than the sum of its proper divisors (232551274752).

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

98753326848 is a wasteful number, since it uses less digits than its factorization.

98753326848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 98753326848 in words is "ninety-eight billion, seven hundred fifty-three million, three hundred twenty-six thousand, eight hundred forty-eight".