98567148336320 has 224 divisors, whose sum is σ = 248080506347520. Its totient is φ = 37198645493760.

The previous prime is 98567148336313. The next prime is 98567148336329. The reversal of 98567148336320 is 2363384176589.

It is a super-2 number, since 2×98567148336320² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98567148336329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2271581825 + ... + 2271625215.

It is an arithmetic number, because the mean of its divisors is an integer number (1107502260480).

It is a 1-persistent number, because it is pandigital, but 2⋅98567148336320 = 197134296672640 is not.

Almost surely, 2^{98567148336320} 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 98567148336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124040253173760).

98567148336320 is an abundant number, since it is smaller than the sum of its proper divisors (149513358011200).

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

98567148336320 is a wasteful number, since it uses less digits than its factorization.

98567148336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44951 (or 44941 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 65.

The spelling of 98567148336320 in words is "ninety-eight trillion, five hundred sixty-seven billion, one hundred forty-eight million, three hundred thirty-six thousand, three hundred twenty".