98075448900 has 729 divisors, whose sum is σ = 370971703557. Its totient is φ = 21646310400.

The previous prime is 98075448871. The next prime is 98075448907. The reversal of 98075448900 is 984457089.

The square root of 98075448900 is 313170.

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

98075448900 is a `hidden beast` number, since 9 + 8 + 0 + 7 + 544 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 88326651204 + 9748797696 = 297198^2 + 98736^2 .

It is a super-2 number, since 2×98075448900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (98075448907) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1343499264 + ... + 1343499336.

Almost surely, 2^98075448900 is an apocalyptic number.

98075448900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98075448900 is the 313170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98075448900

98075448900 is an abundant number, since it is smaller than the sum of its proper divisors (272896254657).

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

98075448900 is a wasteful number, since it uses less digits than its factorization.

98075448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 98075448900 in words is "ninety-eight billion, seventy-five million, four hundred forty-eight thousand, nine hundred".