4719221318448 has 1200 divisors, whose sum is σ = 17728709005280. Its totient is φ = 1161434308608.

The previous prime is 4719221318431. The next prime is 4719221318509. The reversal of 4719221318448 is 8448131229174.

It is a happy number.

4719221318448 is a `hidden beast` number, since 4 + 7 + 192 + 2 + 1 + 3 + 1 + 8 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4719221318394 and 4719221318403.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 6234109686 + ... + 6234110442.

Almost surely, 2^{4719221318448} is an apocalyptic number.

4719221318448 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 4719221318448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864354502640).

4719221318448 is an abundant number, since it is smaller than the sum of its proper divisors (13009487686832).

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

4719221318448 is a wasteful number, since it uses less digits than its factorization.

4719221318448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 874 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 4719221318448 in words is "four trillion, seven hundred nineteen billion, two hundred twenty-one million, three hundred eighteen thousand, four hundred forty-eight".