1143175680 has 400 divisors, whose sum is σ = 4233378600. Its totient is φ = 294617088.

The previous prime is 1143175673. The next prime is 1143175697. The reversal of 1143175680 is 865713411.

It can be written as a sum of positive squares in 4 ways, for example, as 923187456 + 219988224 = 30384^2 + 14832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7672246 + ... + 7672394.

Almost surely, 2^1143175680 is an apocalyptic number.

1143175680 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 1143175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116689300).

1143175680 is an abundant number, since it is smaller than the sum of its proper divisors (3090202920).

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

1143175680 is an equidigital number, since it uses as much as digits as its factorization.

1143175680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1143175680 is about 33810.8810887856. The cubic root of 1143175680 is about 1045.6130435251.

The spelling of 1143175680 in words is "one billion, one hundred forty-three million, one hundred seventy-five thousand, six hundred eighty".