16642185846800 has 120 divisors (see below), whose sum is σ = 40649995624392. Its totient is φ = 6545862144000.

The previous prime is 16642185846799. The next prime is 16642185846817. The reversal of 16642185846800 is 864858124661.

It can be written as a sum of positive squares in 12 ways, for example, as 8085765228304 + 8556420618496 = 2843548^2 + 2925136^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16642185846800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86304092 + ... + 86496708.

Almost surely, 2^{16642185846800} is an apocalyptic number.

16642185846800 is a gapful number since it is divisible by the number (10) 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 16642185846800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324997812196).

16642185846800 is an abundant number, since it is smaller than the sum of its proper divisors (24007809777592).

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

16642185846800 is a wasteful number, since it uses less digits than its factorization.

16642185846800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196237 (or 196226 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 59.

The spelling of 16642185846800 in words is "sixteen trillion, six hundred forty-two billion, one hundred eighty-five million, eight hundred forty-six thousand, eight hundred".