4198663784448 has 288 divisors, whose sum is σ = 14025880814400. Its totient is φ = 1185161969664.

The previous prime is 4198663784363. The next prime is 4198663784449. The reversal of 4198663784448 is 8444873668914.

4198663784448 is a `hidden beast` number, since 4 + 1 + 98 + 66 + 37 + 8 + 4 + 448 = 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 nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4198663784449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10512958 + ... + 10905026.

It is an arithmetic number, because the mean of its divisors is an integer number (48700975050).

Almost surely, 2^{4198663784448} is an apocalyptic number.

4198663784448 is a gapful number since it is divisible by the number (48) 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 4198663784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012940407200).

4198663784448 is an abundant number, since it is smaller than the sum of its proper divisors (9827217029952).

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

4198663784448 is a wasteful number, since it uses less digits than its factorization.

4198663784448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392187 (or 392164 counting only the distinct ones).

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

The spelling of 4198663784448 in words is "four trillion, one hundred ninety-eight billion, six hundred sixty-three million, seven hundred eighty-four thousand, four hundred forty-eight".