11098098816 has 192 divisors, whose sum is σ = 35560284480. Its totient is φ = 3003734016.

The previous prime is 11098098799. The next prime is 11098098833. The reversal of 11098098816 is 61889089011.

It is an interprime number because it is at equal distance from previous prime (11098098799) and next prime (11098098833).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 964650 + ... + 976086.

It is an arithmetic number, because the mean of its divisors is an integer number (185209815).

Almost surely, 2^11098098816 is an apocalyptic number.

11098098816 is a gapful number since it is divisible by the number (16) 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 11098098816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17780142240).

11098098816 is an abundant number, since it is smaller than the sum of its proper divisors (24462185664).

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

11098098816 is a wasteful number, since it uses less digits than its factorization.

11098098816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11468 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 51.

The spelling of 11098098816 in words is "eleven billion, ninety-eight million, ninety-eight thousand, eight hundred sixteen".