98478766848 has 648 divisors, whose sum is σ = 351565220160. Its totient is φ = 24195870720.

The previous prime is 98478766831. The next prime is 98478766853. The reversal of 98478766848 is 84866787489.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 98478766848.

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 71 ways as a sum of consecutive naturals, for example, 149436343 + ... + 149437001.

It is an arithmetic number, because the mean of its divisors is an integer number (542538920).

Almost surely, 2^98478766848 is an apocalyptic number.

98478766848 is a gapful number since it is divisible by the number (98) 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 98478766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175782610080).

98478766848 is an abundant number, since it is smaller than the sum of its proper divisors (253086453312).

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

98478766848 is a wasteful number, since it uses less digits than its factorization.

98478766848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 701 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 75.

The spelling of 98478766848 in words is "ninety-eight billion, four hundred seventy-eight million, seven hundred sixty-six thousand, eight hundred forty-eight".