1143294768 has 240 divisors, whose sum is σ = 4034075136. Its totient is φ = 293621760.

The previous prime is 1143294721. The next prime is 1143294769. The reversal of 1143294768 is 8674923411.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1143294769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1075005 + ... + 1076067.

Almost surely, 2^1143294768 is an apocalyptic number.

1143294768 is a gapful number since it is divisible by the number (18) 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 1143294768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017037568).

1143294768 is an abundant number, since it is smaller than the sum of its proper divisors (2890780368).

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

1143294768 is a wasteful number, since it uses less digits than its factorization.

1143294768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1183 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1143294768 is about 33812.6421327881. The cubic root of 1143294768 is about 1045.6493504680.

The spelling of 1143294768 in words is "one billion, one hundred forty-three million, two hundred ninety-four thousand, seven hundred sixty-eight".