98634916368 has 120 divisors (see below), whose sum is σ = 292690195200. Its totient is φ = 30900698112.

The previous prime is 98634916363. The next prime is 98634916409. The reversal of 98634916368 is 86361943689.

98634916368 is a `hidden beast` number, since 9 + 86 + 3 + 491 + 6 + 3 + 68 = 666.

It is a super-2 number, since 2×98634916368² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (98634916363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1732093 + ... + 1788131.

It is an arithmetic number, because the mean of its divisors is an integer number (2439084960).

Almost surely, 2^98634916368 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 98634916368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146345097600).

98634916368 is an abundant number, since it is smaller than the sum of its proper divisors (194055278832).

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

98634916368 is a wasteful number, since it uses less digits than its factorization.

98634916368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56789 (or 56780 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 98634916368 in words is "ninety-eight billion, six hundred thirty-four million, nine hundred sixteen thousand, three hundred sixty-eight".