98613331200 has 864 divisors, whose sum is σ = 383225472000. Its totient is φ = 24772608000.

The previous prime is 98613331199. The next prime is 98613331217. The reversal of 98613331200 is 213331689.

98613331200 is a `hidden beast` number, since 9 + 8 + 613 + 3 + 31 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219628576 + ... + 219629024.

It is an arithmetic number, because the mean of its divisors is an integer number (443548000).

Almost surely, 2^98613331200 is an apocalyptic number.

98613331200 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 98613331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191612736000).

98613331200 is an abundant number, since it is smaller than the sum of its proper divisors (284612140800).

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

98613331200 is a wasteful number, since it uses less digits than its factorization.

98613331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

Adding to 98613331200 its reverse (213331689), we get a palindrome (98826662889).

The spelling of 98613331200 in words is "ninety-eight billion, six hundred thirteen million, three hundred thirty-one thousand, two hundred".