1008563552768 has 30 divisors (see below), whose sum is σ = 2015202659679. Its totient is φ = 504270414336.

The previous prime is 1008563552729. The next prime is 1008563552797. The reversal of 1008563552768 is 8672553658001.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 504281776384 + 504281776384 = 710128^2 + 710128^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=710128.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 22701905 + ... + 22746287.

Almost surely, 2^{1008563552768} is an apocalyptic number.

It is an amenable number.

1008563552768 is a deficient number, since it is larger than the sum of its proper divisors (1006639106911).

1008563552768 is an frugal number, since it uses more digits than its factorization.

1008563552768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88784 (or 44385 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 56.

The spelling of 1008563552768 in words is "one trillion, eight billion, five hundred sixty-three million, five hundred fifty-two thousand, seven hundred sixty-eight".