98138136034848 has 864 divisors, whose sum is σ = 342102201791616. Its totient is φ = 24501583282176.

The previous prime is 98138136034823. The next prime is 98138136034877. The reversal of 98138136034848 is 84843063183189.

98138136034848 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1773563790 + ... + 1773619122.

It is an arithmetic number, because the mean of its divisors is an integer number (395951622444).

Almost surely, 2^{98138136034848} is an apocalyptic number.

98138136034848 is a gapful number since it is divisible by the number (98) 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 98138136034848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171051100895808).

98138136034848 is an abundant number, since it is smaller than the sum of its proper divisors (243964065756768).

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

98138136034848 is a wasteful number, since it uses less digits than its factorization.

98138136034848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55506 (or 55478 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 66.

The spelling of 98138136034848 in words is "ninety-eight trillion, one hundred thirty-eight billion, one hundred thirty-six million, thirty-four thousand, eight hundred forty-eight".