98684100000 has 864 divisors, whose sum is σ = 383881680000. Its totient is φ = 23950080000.

The previous prime is 98684099999. The next prime is 98684100007. The reversal of 98684100000 is 148689.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (98684100007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 495899901 + ... + 495900099.

It is an arithmetic number, because the mean of its divisors is an integer number (444307500).

Almost surely, 2^98684100000 is an apocalyptic number.

98684100000 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 98684100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191940840000).

98684100000 is an abundant number, since it is smaller than the sum of its proper divisors (285197580000).

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

98684100000 is a wasteful number, since it uses less digits than its factorization.

98684100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 98684100000 its reverse (148689), we get a palindrome (98684248689).

The spelling of 98684100000 in words is "ninety-eight billion, six hundred eighty-four million, one hundred thousand".