998976361743360 has 1584 divisors, whose sum is σ = 4730503270514112. Its totient is φ = 191611787673600.

The previous prime is 998976361743287. The next prime is 998976361743379. The reversal of 998976361743360 is 63347163679899.

998976361743360 is a `hidden beast` number, since 9 + 9 + 8 + 9 + 7 + 63 + 61 + 7 + 433 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a self number, because there is not a number n which added to its sum of digits gives 998976361743360.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321335595 + ... + 324429525.

Almost surely, 2^{998976361743360} is an apocalyptic number.

998976361743360 is a gapful number since it is divisible by the number (90) 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 998976361743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365251635257056).

998976361743360 is an abundant number, since it is smaller than the sum of its proper divisors (3731526908770752).

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

998976361743360 is a wasteful number, since it uses less digits than its factorization.

998976361743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094000 (or 3093972 counting only the distinct ones).

The product of its (nonzero) digits is 6666395904, while the sum is 81.

The spelling of 998976361743360 in words is "nine hundred ninety-eight trillion, nine hundred seventy-six billion, three hundred sixty-one million, seven hundred forty-three thousand, three hundred sixty".