1148394489120 has 288 divisors, whose sum is σ = 4063168811520. Its totient is φ = 295051714560.

The previous prime is 1148394489113. The next prime is 1148394489149. The reversal of 1148394489120 is 219844938411.

1148394489120 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 39 + 4 + 489 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10076616 + ... + 10189944.

It is an arithmetic number, because the mean of its divisors is an integer number (14108225040).

Almost surely, 2^{1148394489120} is an apocalyptic number.

1148394489120 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 1148394489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031584405760).

1148394489120 is an abundant number, since it is smaller than the sum of its proper divisors (2914774322400).

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

1148394489120 is a wasteful number, since it uses less digits than its factorization.

1148394489120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113608 (or 113597 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 1148394489120 in words is "one trillion, one hundred forty-eight billion, three hundred ninety-four million, four hundred eighty-nine thousand, one hundred twenty".