98449100311104 has 567 divisors, whose sum is σ = 304456398928123. Its totient is φ = 30409728958464.

The previous prime is 98449100311069. The next prime is 98449100311139. The reversal of 98449100311104 is 40111300194489.

The square root of 98449100311104 is 9922152.

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

98449100311104 is a `hidden beast` number, since 98 + 4 + 49 + 100 + 311 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (98449100311069) and next prime (98449100311139).

It can be written as a sum of positive squares in 4 ways, for example, as 55236883351104 + 43212216960000 = 7432152^2 + 6573600^2 .

It is a super-3 number, since 3×98449100311104³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 98449100311104.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 336003755182 + ... + 336003755474.

Almost surely, 2^{98449100311104} is an apocalyptic number.

98449100311104 is the 9922152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98449100311104

98449100311104 is an abundant number, since it is smaller than the sum of its proper divisors (206007298617019).

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

98449100311104 is an equidigital number, since it uses as much as digits as its factorization.

98449100311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 98449100311104 in words is "ninety-eight trillion, four hundred forty-nine billion, one hundred million, three hundred eleven thousand, one hundred four".