98224361352 has 192 divisors, whose sum is σ = 292741263360. Its totient is φ = 29568499200.

The previous prime is 98224361327. The next prime is 98224361419. The reversal of 98224361352 is 25316342289.

98224361352 is a `hidden beast` number, since 9 + 8 + 2 + 24 + 3 + 613 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98224361298 and 98224361307.

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, 10900833 + ... + 10909839.

It is an arithmetic number, because the mean of its divisors is an integer number (1524694080).

Almost surely, 2^98224361352 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 98224361352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146370631680).

98224361352 is an abundant number, since it is smaller than the sum of its proper divisors (194516902008).

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

98224361352 is a wasteful number, since it uses less digits than its factorization.

98224361352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284 (or 9277 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 98224361352 in words is "ninety-eight billion, two hundred twenty-four million, three hundred sixty-one thousand, three hundred fifty-two".