98098561344 has 336 divisors, whose sum is σ = 322602270720. Its totient is φ = 26153487360.

The previous prime is 98098561333. The next prime is 98098561349. The reversal of 98098561344 is 44316589089.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98098561349) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11972289 + ... + 11980479.

Almost surely, 2^98098561344 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 98098561344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161301135360).

98098561344 is an abundant number, since it is smaller than the sum of its proper divisors (224503709376).

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

98098561344 is a wasteful number, since it uses less digits than its factorization.

98098561344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8306 (or 8289 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 98098561344 in words is "ninety-eight billion, ninety-eight million, five hundred sixty-one thousand, three hundred forty-four".