98097995808 has 336 divisors, whose sum is σ = 300966162840. Its totient is φ = 31433453568.

The previous prime is 98097995789. The next prime is 98097995833. The reversal of 98097995808 is 80859979089.

It can be written as a sum of positive squares in 4 ways, for example, as 92034570384 + 6063425424 = 303372^2 + 77868^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76818466 + ... + 76819742.

Almost surely, 2^98097995808 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 98097995808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150483081420).

98097995808 is an abundant number, since it is smaller than the sum of its proper divisors (202868167032).

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

98097995808 is a wasteful number, since it uses less digits than its factorization.

98097995808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 72.

The spelling of 98097995808 in words is "ninety-eight billion, ninety-seven million, nine hundred ninety-five thousand, eight hundred eight".