1141399168 has 256 divisors, whose sum is σ = 3015936000. Its totient is φ = 418037760.

The previous prime is 1141399109. The next prime is 1141399211. The reversal of 1141399168 is 8619931411.

It is a happy number.

It is a super-2 number, since 2×1141399168² = 2605584121422184448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10471498 + ... + 10471606.

It is an arithmetic number, because the mean of its divisors is an integer number (11781000).

Almost surely, 2^1141399168 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 1141399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507968000).

1141399168 is an abundant number, since it is smaller than the sum of its proper divisors (1874536832).

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

1141399168 is a wasteful number, since it uses less digits than its factorization.

1141399168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 191 counting only the distinct ones).

The product of its digits is 46656, while the sum is 43.

The square root of 1141399168 is about 33784.5995684424. The cubic root of 1141399168 is about 1045.0711299766.

The spelling of 1141399168 in words is "one billion, one hundred forty-one million, three hundred ninety-nine thousand, one hundred sixty-eight".