98409348188928 has 864 divisors, whose sum is σ = 367182819299520. Its totient is φ = 25817516605440.

The previous prime is 98409348188927. The next prime is 98409348188933. The reversal of 98409348188928 is 82988184390489.

98409348188928 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 9 + 348 + 188 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (98409348188927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235857100 + ... + 236273972.

It is an arithmetic number, because the mean of its divisors is an integer number (424980114930).

Almost surely, 2^{98409348188928} is an apocalyptic number.

98409348188928 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 98409348188928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183591409649760).

98409348188928 is an abundant number, since it is smaller than the sum of its proper divisors (268773471110592).

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

98409348188928 is a wasteful number, since it uses less digits than its factorization.

98409348188928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416970 (or 416943 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 81.

The spelling of 98409348188928 in words is "ninety-eight trillion, four hundred nine billion, three hundred forty-eight million, one hundred eighty-eight thousand, nine hundred twenty-eight".