1143118080 has 432 divisors, whose sum is σ = 4519897200. Its totient is φ = 264241152.

The previous prime is 1143118061. The next prime is 1143118121. The reversal of 1143118080 is 808113411.

It can be written as a sum of positive squares in 8 ways, for example, as 4460544 + 1138657536 = 2112^2 + 33744^2 .

It is a zygodrome in base 16.

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, 2545696 + ... + 2546144.

It is an arithmetic number, because the mean of its divisors is an integer number (10462725).

Almost surely, 2^1143118080 is an apocalyptic number.

1143118080 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 1143118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259948600).

1143118080 is an abundant number, since it is smaller than the sum of its proper divisors (3376779120).

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

1143118080 is a wasteful number, since it uses less digits than its factorization.

1143118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1143118080 is about 33810.0292812650. The cubic root of 1143118080 is about 1045.5954818257.

The spelling of 1143118080 in words is "one billion, one hundred forty-three million, one hundred eighteen thousand, eighty".