1141168896 has 216 divisors, whose sum is σ = 3791292960. Its totient is φ = 323371008.

The previous prime is 1141168859. The next prime is 1141168901. The reversal of 1141168896 is 6988611411.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2789940 + ... + 2790348.

Almost surely, 2^1141168896 is an apocalyptic number.

1141168896 is a gapful number since it is divisible by the number (16) 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 1141168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1895646480).

1141168896 is an abundant number, since it is smaller than the sum of its proper divisors (2650124064).

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

1141168896 is a wasteful number, since it uses less digits than its factorization.

1141168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its digits is 82944, while the sum is 45.

The square root of 1141168896 is about 33781.1914532333. The cubic root of 1141168896 is about 1045.0008458285. Note that the first 3 decimals are identical.

The spelling of 1141168896 in words is "one billion, one hundred forty-one million, one hundred sixty-eight thousand, eight hundred ninety-six".