1143211680 has 288 divisors, whose sum is σ = 4237558416. Its totient is φ = 278986752.

The previous prime is 1143211679. The next prime is 1143211723. The reversal of 1143211680 is 861123411.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 488056464 + 655155216 = 22092^2 + 25596^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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, 3238384 + ... + 3238736.

Almost surely, 2^1143211680 is an apocalyptic number.

1143211680 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 1143211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118779208).

1143211680 is an abundant number, since it is smaller than the sum of its proper divisors (3094346736).

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

1143211680 is a wasteful number, since it uses less digits than its factorization.

1143211680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1143211680 is about 33811.4134575885. The cubic root of 1143211680 is about 1045.6240192876.

The spelling of 1143211680 in words is "one billion, one hundred forty-three million, two hundred eleven thousand, six hundred eighty".