1224256208448 has 224 divisors, whose sum is σ = 4015788182784. Its totient is φ = 320523337728.

The previous prime is 1224256208369. The next prime is 1224256208473. The reversal of 1224256208448 is 8448026524221.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 1224256208397 and 1224256208406.

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 31 ways as a sum of consecutive naturals, for example, 2137936 + ... + 2649392.

It is an arithmetic number, because the mean of its divisors is an integer number (17927625816).

Almost surely, 2^{1224256208448} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224256208448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007894091392).

1224256208448 is an abundant number, since it is smaller than the sum of its proper divisors (2791531974336).

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

1224256208448 is a wasteful number, since it uses less digits than its factorization.

1224256208448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511629 (or 511619 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 1224256208448 in words is "one trillion, two hundred twenty-four billion, two hundred fifty-six million, two hundred eight thousand, four hundred forty-eight".