16383064900800 has 1344 divisors, whose sum is σ = 62114010448896. Its totient is φ = 3748803379200.

The previous prime is 16383064900793. The next prime is 16383064900817. The reversal of 16383064900800 is 800946038361.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 16383064900800.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25479105279 + ... + 25479105921.

It is an arithmetic number, because the mean of its divisors is an integer number (46215781584).

Almost surely, 2^{16383064900800} is an apocalyptic number.

16383064900800 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 16383064900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31057005224448).

16383064900800 is an abundant number, since it is smaller than the sum of its proper divisors (45730945548096).

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

16383064900800 is a wasteful number, since it uses less digits than its factorization.

16383064900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 16383064900800 in words is "sixteen trillion, three hundred eighty-three billion, sixty-four million, nine hundred thousand, eight hundred".