8998449259968 has 2016 divisors, whose sum is σ = 34064174289600. Its totient is φ = 2252920061952.

The previous prime is 8998449259907. The next prime is 8998449259973. The reversal of 8998449259968 is 8699529448998.

It is a happy number.

8998449259968 is a `hidden beast` number, since 8 + 9 + 9 + 8 + 4 + 4 + 9 + 2 + 599 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×8998449259968² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79632294280 + ... + 79632294392.

It is an arithmetic number, because the mean of its divisors is an integer number (16896911850).

Almost surely, 2^{8998449259968} 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 8998449259968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032087144800).

8998449259968 is an abundant number, since it is smaller than the sum of its proper divisors (25065725029632).

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

8998449259968 is a wasteful number, since it uses less digits than its factorization.

8998449259968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

The product of its digits is 29023764480, while the sum is 90.

The spelling of 8998449259968 in words is "eight trillion, nine hundred ninety-eight billion, four hundred forty-nine million, two hundred fifty-nine thousand, nine hundred sixty-eight".