98648668800 has 1152 divisors, whose sum is σ = 419873126400. Its totient is φ = 22618828800.

The previous prime is 98648668753. The next prime is 98648668823. The reversal of 98648668800 is 886684689.

98648668800 is a `hidden beast` number, since 98 + 6 + 486 + 68 + 8 + 0 + 0 = 666.

98648668800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162518097 + ... + 162518703.

It is an arithmetic number, because the mean of its divisors is an integer number (364473200).

Almost surely, 2^98648668800 is an apocalyptic number.

98648668800 is a gapful number since it is divisible by the number (90) 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 98648668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209936563200).

98648668800 is an abundant number, since it is smaller than the sum of its proper divisors (321224457600).

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

98648668800 is a wasteful number, since it uses less digits than its factorization.

98648668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 98648668800 in words is "ninety-eight billion, six hundred forty-eight million, six hundred sixty-eight thousand, eight hundred".