1186482816 has 240 divisors, whose sum is σ = 3738330090. Its totient is φ = 373496832.

The previous prime is 1186482799. The next prime is 1186482821. The reversal of 1186482816 is 6182846811.

1186482816 is a `hidden beast` number, since 11 + 86 + 482 + 81 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1169640000 + 16842816 = 34200^2 + 4104^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3742690 + ... + 3743006.

Almost surely, 2^1186482816 is an apocalyptic number.

1186482816 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 1186482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869165045).

1186482816 is an abundant number, since it is smaller than the sum of its proper divisors (2551847274).

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

1186482816 is an equidigital number, since it uses as much as digits as its factorization.

1186482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 341 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 1186482816 is about 34445.3598616708. The cubic root of 1186482816 is about 1058.6534509563.

The spelling of 1186482816 in words is "one billion, one hundred eighty-six million, four hundred eighty-two thousand, eight hundred sixteen".