11187660281616 has 675 divisors, whose sum is σ = 40827243936303. Its totient is φ = 2947701818880.

The previous prime is 11187660281471. The next prime is 11187660281641. The reversal of 11187660281616 is 61618206678111.

The square root of 11187660281616 is 3344796.

It is a perfect power (a square), and thus also a powerful number.

11187660281616 is a `hidden beast` number, since 1 + 1 + 1 + 8 + 7 + 6 + 602 + 8 + 16 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1028804490000 + 10158855791616 = 1014300^2 + 3187296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 10957551186 + ... + 10957552206.

Almost surely, 2^{11187660281616} is an apocalyptic number.

11187660281616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11187660281616 is the 3344796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11187660281616

11187660281616 is an abundant number, since it is smaller than the sum of its proper divisors (29639583654687).

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

11187660281616 is an equidigital number, since it uses as much as digits as its factorization.

11187660281616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 11187660281616 in words is "eleven trillion, one hundred eighty-seven billion, six hundred sixty million, two hundred eighty-one thousand, six hundred sixteen".