1148001134560 has 192 divisors, whose sum is σ = 3109591296000. Its totient is φ = 392334538752.

The previous prime is 1148001134557. The next prime is 1148001134587. The reversal of 1148001134560 is 654311008411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744005149 + ... + 744006691.

It is an arithmetic number, because the mean of its divisors is an integer number (16195788000).

Almost surely, 2^{1148001134560} is an apocalyptic number.

1148001134560 is a gapful number since it is divisible by the number (10) 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 1148001134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554795648000).

1148001134560 is an abundant number, since it is smaller than the sum of its proper divisors (1961590161440).

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

1148001134560 is a wasteful number, since it uses less digits than its factorization.

1148001134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The spelling of 1148001134560 in words is "one trillion, one hundred forty-eight billion, one million, one hundred thirty-four thousand, five hundred sixty".