11316541332096 has 3600 divisors, whose sum is σ = 49403385563070. Its totient is φ = 2553653329920.

The previous prime is 11316541332077. The next prime is 11316541332119. The reversal of 11316541332096 is 69023314561311.

11316541332096 is a `hidden beast` number, since 1 + 1 + 3 + 16 + 541 + 3 + 3 + 2 + 0 + 96 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 10375253292096 + 941288040000 = 3221064^2 + 970200^2 .

It is a super-2 number, since 2×11316541332096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 665678901880 + ... + 665678901896.

Almost surely, 2^{11316541332096} is an apocalyptic number.

11316541332096 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 11316541332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701692781535).

11316541332096 is an abundant number, since it is smaller than the sum of its proper divisors (38086844230974).

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

11316541332096 is an equidigital number, since it uses as much as digits as its factorization.

11316541332096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 11316541332096 in words is "eleven trillion, three hundred sixteen billion, five hundred forty-one million, three hundred thirty-two thousand, ninety-six".