98417225088 has 384 divisors, whose sum is σ = 366913747200. Its totient is φ = 24589578240.

The previous prime is 98417225087. The next prime is 98417225117. The reversal of 98417225088 is 88052271489.

98417225088 is a `hidden beast` number, since 98 + 41 + 7 + 2 + 2 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98417225083) by changing a digit.

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, 1967103 + ... + 2016513.

It is an arithmetic number, because the mean of its divisors is an integer number (955504550).

Almost surely, 2^98417225088 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 98417225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456873600).

98417225088 is an abundant number, since it is smaller than the sum of its proper divisors (268496522112).

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

98417225088 is a wasteful number, since it uses less digits than its factorization.

98417225088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49470 (or 49455 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 98417225088 in words is "ninety-eight billion, four hundred seventeen million, two hundred twenty-five thousand, eighty-eight".