98434834848 has 192 divisors, whose sum is σ = 329114096640. Its totient is φ = 28038700800.

The previous prime is 98434834847. The next prime is 98434834859. The reversal of 98434834848 is 84843843489.

98434834848 is a `hidden beast` number, since 98 + 434 + 8 + 34 + 84 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (98434834847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977303 + ... + 2026473.

It is an arithmetic number, because the mean of its divisors is an integer number (1714135920).

Almost surely, 2^98434834848 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 98434834848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164557048320).

98434834848 is an abundant number, since it is smaller than the sum of its proper divisors (230679261792).

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

98434834848 is a wasteful number, since it uses less digits than its factorization.

98434834848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49528 (or 49514 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 63.

The spelling of 98434834848 in words is "ninety-eight billion, four hundred thirty-four million, eight hundred thirty-four thousand, eight hundred forty-eight".