98144091832900 has 81 divisors (see below), whose sum is σ = 218050179306141. Its totient is φ = 38343004099680.

The previous prime is 98144091832889. The next prime is 98144091832987. The reversal of 98144091832900 is 923819044189.

The square root of 98144091832900 is 9906770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35331873059844 + 62812218773056 = 5944062^2 + 7925416^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4259899581 + ... + 4259922619.

Almost surely, 2^{98144091832900} is an apocalyptic number.

98144091832900 is the 9906770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98144091832900

98144091832900 is an abundant number, since it is smaller than the sum of its proper divisors (119906087473241).

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

98144091832900 is an frugal number, since it uses more digits than its factorization.

98144091832900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46178 (or 23089 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 58.

The spelling of 98144091832900 in words is "ninety-eight trillion, one hundred forty-four billion, ninety-one million, eight hundred thirty-two thousand, nine hundred".