1186116480 has 256 divisors, whose sum is σ = 4256582400. Its totient is φ = 312109056.

The previous prime is 1186116419. The next prime is 1186116497. The reversal of 1186116480 is 846116811.

1186116480 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 1 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1433827 + ... + 1434653.

It is an arithmetic number, because the mean of its divisors is an integer number (16627275).

Almost surely, 2^1186116480 is an apocalyptic number.

1186116480 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 1186116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128291200).

1186116480 is an abundant number, since it is smaller than the sum of its proper divisors (3070465920).

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

1186116480 is an equidigital number, since it uses as much as digits as its factorization.

1186116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1186116480 is about 34440.0418118213. The cubic root of 1186116480 is about 1058.5444838516.

The spelling of 1186116480 in words is "one billion, one hundred eighty-six million, one hundred sixteen thousand, four hundred eighty".