98113098240 has 480 divisors, whose sum is σ = 375458219136. Its totient is φ = 23551672320.

The previous prime is 98113098229. The next prime is 98113098253. The reversal of 98113098240 is 4289031189.

98113098240 is a `hidden beast` number, since 98 + 11 + 309 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×98113098240³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9003195 + ... + 9014085.

Almost surely, 2^98113098240 is an apocalyptic number.

98113098240 is a gapful number since it is divisible by the number (90) 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 98113098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187729109568).

98113098240 is an abundant number, since it is smaller than the sum of its proper divisors (277345120896).

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

98113098240 is a wasteful number, since it uses less digits than its factorization.

98113098240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10960 (or 10941 counting only the distinct ones).

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

The spelling of 98113098240 in words is "ninety-eight billion, one hundred thirteen million, ninety-eight thousand, two hundred forty".