1141166208 has 384 divisors, whose sum is σ = 3998171520. Its totient is φ = 280756224.

The previous prime is 1141166171. The next prime is 1141166219. The reversal of 1141166208 is 8026611411.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10098760 + ... + 10098872.

It is an arithmetic number, because the mean of its divisors is an integer number (10411905).

Almost surely, 2^1141166208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999085760).

1141166208 is an abundant number, since it is smaller than the sum of its proper divisors (2857005312).

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

1141166208 is a wasteful number, since it uses less digits than its factorization.

1141166208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1141166208 is about 33781.1516677570. The cubic root of 1141166208 is about 1045.0000253352. Note that the first 4 decimals are identical.

Adding to 1141166208 its reverse (8026611411), we get a palindrome (9167777619).

The spelling of 1141166208 in words is "one billion, one hundred forty-one million, one hundred sixty-six thousand, two hundred eight".