1163816000 has 56 divisors (see below), whose sum is σ = 2882210136. Its totient is φ = 465523200.

The previous prime is 1163815963. The next prime is 1163816009. The reversal of 1163816000 is 6183611.

It can be written as a sum of positive squares in 4 ways, for example, as 168792064 + 995023936 = 12992^2 + 31544^2 .

It is not an unprimeable number, because it can be changed into a prime (1163816009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64739 + ... + 80738.

Almost surely, 2^1163816000 is an apocalyptic number.

1163816000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1163816000 is an abundant number, since it is smaller than the sum of its proper divisors (1718394136).

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

1163816000 is an equidigital number, since it uses as much as digits as its factorization.

1163816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145504 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1163816000 is about 34114.7475441340. The cubic root of 1163816000 is about 1051.8684795606.

Adding to 1163816000 its reverse (6183611), we get a palindrome (1169999611).

The spelling of 1163816000 in words is "one billion, one hundred sixty-three million, eight hundred sixteen thousand".