1146116160 has 336 divisors, whose sum is σ = 4548835200. Its totient is φ = 259448832.

The previous prime is 1146116141. The next prime is 1146116161. The reversal of 1146116160 is 616116411.

It is a happy number.

1146116160 is a `hidden beast` number, since 1 + 1 + 46 + 1 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (1146116161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2802036 + ... + 2802444.

It is an arithmetic number, because the mean of its divisors is an integer number (13538200).

Almost surely, 2^1146116160 is an apocalyptic number.

1146116160 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 1146116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274417600).

1146116160 is an abundant number, since it is smaller than the sum of its proper divisors (3402719040).

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

1146116160 is a wasteful number, since it uses less digits than its factorization.

1146116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1146116160 is about 33854.3373882875. The cubic root of 1146116160 is about 1046.5087856488.

The spelling of 1146116160 in words is "one billion, one hundred forty-six million, one hundred sixteen thousand, one hundred sixty".