1148566128801 has 32 divisors (see below), whose sum is σ = 1885998616320. Its totient is φ = 605460317184.

The previous prime is 1148566128799. The next prime is 1148566128847. The reversal of 1148566128801 is 1088216658411.

It is a happy number.

It is not a de Polignac number, because 1148566128801 - 2¹ = 1148566128799 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1148566128301) 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 31 ways as a sum of consecutive naturals, for example, 868140 + ... + 1746653.

It is an arithmetic number, because the mean of its divisors is an integer number (58937456760).

Almost surely, 2^{1148566128801} is an apocalyptic number.

It is an amenable number.

1148566128801 is a deficient number, since it is larger than the sum of its proper divisors (737432487519).

1148566128801 is a wasteful number, since it uses less digits than its factorization.

1148566128801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616425.

The product of its (nonzero) digits is 737280, while the sum is 51.

The spelling of 1148566128801 in words is "one trillion, one hundred forty-eight billion, five hundred sixty-six million, one hundred twenty-eight thousand, eight hundred one".