16614784449648 has 1920 divisors, whose sum is σ = 66478787942400. Its totient is φ = 3853379174400.

The previous prime is 16614784449623. The next prime is 16614784449737. The reversal of 16614784449648 is 84694448741661.

16614784449648 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 47 + 84 + 449 + 64 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17005920136 + ... + 17005921112.

It is an arithmetic number, because the mean of its divisors is an integer number (34624368720).

Almost surely, 2^{16614784449648} is an apocalyptic number.

16614784449648 is a gapful number since it is divisible by the number (18) 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 16614784449648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33239393971200).

16614784449648 is an abundant number, since it is smaller than the sum of its proper divisors (49864003492752).

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

16614784449648 is a wasteful number, since it uses less digits than its factorization.

16614784449648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1107 counting only the distinct ones).

The product of its digits is 891813888, while the sum is 72.

The spelling of 16614784449648 in words is "sixteen trillion, six hundred fourteen billion, seven hundred eighty-four million, four hundred forty-nine thousand, six hundred forty-eight".