98225199360 has 432 divisors, whose sum is σ = 353197681200. Its totient is φ = 25173098496.

The previous prime is 98225199313. The next prime is 98225199367. The reversal of 98225199360 is 6399152289.

It is a happy number.

98225199360 is a `hidden beast` number, since 98 + 2 + 2 + 5 + 199 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10653696 + 98214545664 = 3264^2 + 313392^2 .

It is a junction number, because it is equal to n+sod(n) for n = 98225199297 and 98225199306.

It is not an unprimeable number, because it can be changed into a prime (98225199367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89866974 + ... + 89868066.

It is an arithmetic number, because the mean of its divisors is an integer number (817587225).

Almost surely, 2^98225199360 is an apocalyptic number.

98225199360 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 98225199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176598840600).

98225199360 is an abundant number, since it is smaller than the sum of its proper divisors (254972481840).

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

98225199360 is a wasteful number, since it uses less digits than its factorization.

98225199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 98225199360 in words is "ninety-eight billion, two hundred twenty-five million, one hundred ninety-nine thousand, three hundred sixty".