11121161520816 has 60 divisors (see below), whose sum is σ = 32197040909280. Its totient is φ = 3579224396160.

The previous prime is 11121161520797. The next prime is 11121161520857. The reversal of 11121161520816 is 61802516112111.

It is a happy number.

11121161520816 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 1 + 1 + 615 + 20 + 8 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1331552520 + ... + 1331560871.

It is an arithmetic number, because the mean of its divisors is an integer number (536617348488).

Almost surely, 2^{11121161520816} is an apocalyptic number.

11121161520816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11121161520816 is an abundant number, since it is smaller than the sum of its proper divisors (21075879388464).

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

11121161520816 is a wasteful number, since it uses less digits than its factorization.

11121161520816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2663113434 (or 2663113425 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

Adding to 11121161520816 its reverse (61802516112111), we get a palindrome (72923677632927).

The spelling of 11121161520816 in words is "eleven trillion, one hundred twenty-one billion, one hundred sixty-one million, five hundred twenty thousand, eight hundred sixteen".