998667686016 has 576 divisors, whose sum is σ = 3927422116800. Its totient is φ = 239438868480.

The previous prime is 998667685993. The next prime is 998667686077. The reversal of 998667686016 is 610686766899.

998667686016 is a `hidden beast` number, since 9 + 9 + 8 + 6 + 6 + 7 + 6 + 8 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8010205 + ... + 8133923.

It is an arithmetic number, because the mean of its divisors is an integer number (6818441175).

Almost surely, 2^998667686016 is an apocalyptic number.

998667686016 is a gapful number since it is divisible by the number (96) 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 998667686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963711058400).

998667686016 is an abundant number, since it is smaller than the sum of its proper divisors (2928754430784).

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

998667686016 is a wasteful number, since it uses less digits than its factorization.

998667686016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123777 (or 123755 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 998667686016 in words is "nine hundred ninety-eight billion, six hundred sixty-seven million, six hundred eighty-six thousand, sixteen".