1320564500448 has 384 divisors, whose sum is σ = 3759284390400. Its totient is φ = 405070848000.

The previous prime is 1320564500429. The next prime is 1320564500483. The reversal of 1320564500448 is 8440054650231.

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 63 ways as a sum of consecutive naturals, for example, 1015037398 + ... + 1015038698.

It is an arithmetic number, because the mean of its divisors is an integer number (9789803100).

Almost surely, 2^{1320564500448} 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 1320564500448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879642195200).

1320564500448 is an abundant number, since it is smaller than the sum of its proper divisors (2438719889952).

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

1320564500448 is a wasteful number, since it uses less digits than its factorization.

1320564500448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 1320564500448 in words is "one trillion, three hundred twenty billion, five hundred sixty-four million, five hundred thousand, four hundred forty-eight".