11315566291968 has 132 divisors (see below), whose sum is σ = 32679510817200. Its totient is φ = 3771156013056.

The previous prime is 11315566291957. The next prime is 11315566292011. The reversal of 11315566291968 is 86919266551311.

11315566291968 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 5 + 566 + 2 + 9 + 1 + 9 + 68 = 666.

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 11 ways as a sum of consecutive naturals, for example, 50825758 + ... + 51047906.

Almost surely, 2^{11315566291968} is an apocalyptic number.

11315566291968 is a gapful number since it is divisible by the number (18) 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 11315566291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16339755408600).

11315566291968 is an abundant number, since it is smaller than the sum of its proper divisors (21363944525232).

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

11315566291968 is a wasteful number, since it uses less digits than its factorization.

11315566291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227702 (or 227681 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 63.

The spelling of 11315566291968 in words is "eleven trillion, three hundred fifteen billion, five hundred sixty-six million, two hundred ninety-one thousand, nine hundred sixty-eight".