98674521884928 has 864 divisors, whose sum is σ = 327291947953152. Its totient is φ = 29398654771200.

The previous prime is 98674521884881. The next prime is 98674521884933. The reversal of 98674521884928 is 82948812547689.

98674521884928 is a `hidden beast` number, since 9 + 8 + 6 + 7 + 4 + 521 + 8 + 84 + 9 + 2 + 8 = 666.

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

It is a super-3 number, since 3×98674521884928³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28104390693 + ... + 28104394203.

Almost surely, 2^{98674521884928} 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 98674521884928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163645973976576).

98674521884928 is an abundant number, since it is smaller than the sum of its proper divisors (228617426068224).

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

98674521884928 is a wasteful number, since it uses less digits than its factorization.

98674521884928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4207 counting only the distinct ones).

The product of its digits is 4459069440, while the sum is 81.

The spelling of 98674521884928 in words is "ninety-eight trillion, six hundred seventy-four billion, five hundred twenty-one million, eight hundred eighty-four thousand, nine hundred twenty-eight".