98395114341888 has 3840 divisors, whose sum is σ = 399974000025600. Its totient is φ = 23418523090944.

The previous prime is 98395114341869. The next prime is 98395114341893. The reversal of 98395114341888 is 88814341159389.

It is a happy number.

98395114341888 is a `hidden beast` number, since 9 + 8 + 3 + 9 + 5 + 1 + 1 + 434 + 188 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 660369894838 + ... + 660369894986.

It is an arithmetic number, because the mean of its divisors is an integer number (104159895840).

Almost surely, 2^{98395114341888} 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 98395114341888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987000012800).

98395114341888 is an abundant number, since it is smaller than the sum of its proper divisors (301578885683712).

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

98395114341888 is a wasteful number, since it uses less digits than its factorization.

98395114341888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 72.

The spelling of 98395114341888 in words is "ninety-eight trillion, three hundred ninety-five billion, one hundred fourteen million, three hundred forty-one thousand, eight hundred eighty-eight".