16998001648992 has 288 divisors, whose sum is σ = 59497694448192. Its totient is φ = 4482636152832.

The previous prime is 16998001648987. The next prime is 16998001649021. The reversal of 16998001648992 is 29984610089961.

16998001648992 is a `hidden beast` number, since 1 + 69 + 9 + 80 + 0 + 1 + 6 + 489 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 16998001648992.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 613698888 + ... + 613726584.

It is an arithmetic number, because the mean of its divisors is an integer number (206589216834).

Almost surely, 2^{16998001648992} is an apocalyptic number.

16998001648992 is a gapful number since it is divisible by the number (12) 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 16998001648992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29748847224096).

16998001648992 is an abundant number, since it is smaller than the sum of its proper divisors (42499692799200).

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

16998001648992 is a wasteful number, since it uses less digits than its factorization.

16998001648992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51150 (or 51139 counting only the distinct ones).

The product of its (nonzero) digits is 120932352, while the sum is 72.

The spelling of 16998001648992 in words is "sixteen trillion, nine hundred ninety-eight billion, one million, six hundred forty-eight thousand, nine hundred ninety-two".