1143016000 has 112 divisors (see below), whose sum is σ = 3235220352. Its totient is φ = 391872000.

The previous prime is 1143015997. The next prime is 1143016009. The reversal of 1143016000 is 6103411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1143016009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45795 + ... + 66205.

It is an arithmetic number, because the mean of its divisors is an integer number (28885896).

Almost surely, 2^1143016000 is an apocalyptic number.

1143016000 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 1143016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617610176).

1143016000 is an abundant number, since it is smaller than the sum of its proper divisors (2092204352).

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

1143016000 is an equidigital number, since it uses as much as digits as its factorization.

1143016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20445 (or 20425 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1143016000 is about 33808.5196363284. The cubic root of 1143016000 is about 1045.5643571426.

Adding to 1143016000 its reverse (6103411), we get a palindrome (1149119411).

The spelling of 1143016000 in words is "one billion, one hundred forty-three million, sixteen thousand".