1141966848 has 192 divisors, whose sum is σ = 3387908160. Its totient is φ = 339148800.

The previous prime is 1141966841. The next prime is 1141966913. The reversal of 1141966848 is 8486691411.

It is a Cunningham number, because it is equal to 33793²-1.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1141966797 and 1141966806.

It is not an unprimeable number, because it can be changed into a prime (1141966841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4122486 + ... + 4122762.

It is an arithmetic number, because the mean of its divisors is an integer number (17645355).

Almost surely, 2^1141966848 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 1141966848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693954080).

1141966848 is an abundant number, since it is smaller than the sum of its proper divisors (2245941312).

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

1141966848 is a wasteful number, since it uses less digits than its factorization.

1141966848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 354 counting only the distinct ones).

The product of its digits is 331776, while the sum is 48.

The square root of 1141966848 is about 33792.9999852040. Note that the first 4 decimals coincide. The cubic root of 1141966848 is about 1045.2443582005.

The spelling of 1141966848 in words is "one billion, one hundred forty-one million, nine hundred sixty-six thousand, eight hundred forty-eight".