11610133680816 has 360 divisors, whose sum is σ = 37679238468144. Its totient is φ = 3309031710720.

The previous prime is 11610133680767. The next prime is 11610133680877. The reversal of 11610133680816 is 61808633101611.

11610133680816 is a `hidden beast` number, since 1 + 1 + 610 + 13 + 3 + 6 + 8 + 0 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 749371566 + ... + 749387058.

Almost surely, 2^{11610133680816} is an apocalyptic number.

11610133680816 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 11610133680816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18839619234072).

11610133680816 is an abundant number, since it is smaller than the sum of its proper divisors (26069104787328).

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

11610133680816 is a wasteful number, since it uses less digits than its factorization.

11610133680816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17189 (or 17163 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11610133680816 in words is "eleven trillion, six hundred ten billion, one hundred thirty-three million, six hundred eighty thousand, eight hundred sixteen".