98454118170240 has 768 divisors, whose sum is σ = 408343731840000. Its totient is φ = 22352737591296.

The previous prime is 98454118170227. The next prime is 98454118170259. The reversal of 98454118170240 is 4207181145489.

It is a happy number.

98454118170240 is a `hidden beast` number, since 9 + 8 + 4 + 541 + 1 + 8 + 1 + 70 + 24 + 0 = 666.

98454118170240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125771089 + ... + 126551471.

It is an arithmetic number, because the mean of its divisors is an integer number (531697567500).

Almost surely, 2^{98454118170240} is an apocalyptic number.

98454118170240 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 98454118170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204171865920000).

98454118170240 is an abundant number, since it is smaller than the sum of its proper divisors (309889613669760).

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

98454118170240 is a wasteful number, since it uses less digits than its factorization.

98454118170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780574 (or 780549 counting only the distinct ones).

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

The spelling of 98454118170240 in words is "ninety-eight trillion, four hundred fifty-four billion, one hundred eighteen million, one hundred seventy thousand, two hundred forty".