98823618286848 has 1512 divisors, whose sum is σ = 370486482472512. Its totient is φ = 25744580739072.

The previous prime is 98823618286843. The next prime is 98823618286853. The reversal of 98823618286848 is 84868281632889.

98823618286848 is a `hidden beast` number, since 9 + 8 + 82 + 361 + 82 + 8 + 68 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (98823618286843) and next prime (98823618286853).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×98823618286848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98823618286843) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 18324421240 + ... + 18324426632.

It is an arithmetic number, because the mean of its divisors is an integer number (245030742376).

Almost surely, 2^{98823618286848} 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 98823618286848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185243241236256).

98823618286848 is an abundant number, since it is smaller than the sum of its proper divisors (271662864185664).

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

98823618286848 is an equidigital number, since it uses as much as digits as its factorization.

98823618286848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5543 (or 5501 counting only the distinct ones).

The product of its digits is 4076863488, while the sum is 81.

The spelling of 98823618286848 in words is "ninety-eight trillion, eight hundred twenty-three billion, six hundred eighteen million, two hundred eighty-six thousand, eight hundred forty-eight".