1147143818304 has 189 divisors, whose sum is σ = 3615062340981. Its totient is φ = 347533655040.

The previous prime is 1147143818263. The next prime is 1147143818377. The reversal of 1147143818304 is 4038183417411.

The square root of 1147143818304 is 1071048.

It is a perfect power (a square), and thus also a powerful number.

1147143818304 is a `hidden beast` number, since 114 + 71 + 438 + 1 + 8 + 30 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 588166286400 + 558977531904 = 766920^2 + 747648^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1147143818304.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 282754644 + ... + 282758700.

Almost surely, 2^{1147143818304} is an apocalyptic number.

1147143818304 is the 1071048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1147143818304

1147143818304 is an abundant number, since it is smaller than the sum of its proper divisors (2467918522677).

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

1147143818304 is an frugal number, since it uses more digits than its factorization.

1147143818304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 4073 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1147143818304 in words is "one trillion, one hundred forty-seven billion, one hundred forty-three million, eight hundred eighteen thousand, three hundred four".