998305744968 has 384 divisors, whose sum is σ = 3260694528000. Its totient is φ = 275526921600.

The previous prime is 998305744921. The next prime is 998305744981. The reversal of 998305744968 is 869447503899.

998305744968 is a `hidden beast` number, since 9 + 9 + 8 + 3 + 0 + 574 + 49 + 6 + 8 = 666.

It is a super-3 number, since 3×998305744968³ (a number of 37 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 998305744896 and 998305744905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 660691333 + ... + 660692843.

It is an arithmetic number, because the mean of its divisors is an integer number (8491392000).

Almost surely, 2^998305744968 is an apocalyptic number.

998305744968 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 998305744968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630347264000).

998305744968 is an abundant number, since it is smaller than the sum of its proper divisors (2262388783032).

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

998305744968 is a wasteful number, since it uses less digits than its factorization.

998305744968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 998305744968 in words is "nine hundred ninety-eight billion, three hundred five million, seven hundred forty-four thousand, nine hundred sixty-eight".