98248947600 has 240 divisors, whose sum is σ = 320616354240. Its totient is φ = 25710796800.

The previous prime is 98248947583. The next prime is 98248947619. The reversal of 98248947600 is 674984289.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66338860 + ... + 66340340.

It is an arithmetic number, because the mean of its divisors is an integer number (1335901476).

Almost surely, 2^98248947600 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 98248947600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160308177120).

98248947600 is an abundant number, since it is smaller than the sum of its proper divisors (222367406640).

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

98248947600 is a wasteful number, since it uses less digits than its factorization.

98248947600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 98248947600 in words is "ninety-eight billion, two hundred forty-eight million, nine hundred forty-seven thousand, six hundred".