98238965920128 has 512 divisors, whose sum is σ = 336841819315200. Its totient is φ = 27856256532480.

The previous prime is 98238965920097. The next prime is 98238965920187. The reversal of 98238965920128 is 82102956983289.

98238965920128 is a `hidden beast` number, since 9 + 8 + 2 + 3 + 8 + 9 + 6 + 592 + 0 + 1 + 28 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111365725 + ... + 112244387.

It is an arithmetic number, because the mean of its divisors is an integer number (657894178350).

Almost surely, 2^{98238965920128} 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 98238965920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168420909657600).

98238965920128 is an abundant number, since it is smaller than the sum of its proper divisors (238602853395072).

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

98238965920128 is a wasteful number, since it uses less digits than its factorization.

98238965920128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878887 (or 878869 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 98238965920128 in words is "ninety-eight trillion, two hundred thirty-eight billion, nine hundred sixty-five million, nine hundred twenty thousand, one hundred twenty-eight".