11168421286176 has 1728 divisors, whose sum is σ = 42128173301760. Its totient is φ = 2773854720000.

The previous prime is 11168421286151. The next prime is 11168421286181. The reversal of 11168421286176 is 67168212486111.

11168421286176 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 8 + 4 + 2 + 12 + 8 + 617 + 6 = 666.

It is a super-3 number, since 3×11168421286176³ (a number of 40 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87940325025 + ... + 87940325151.

It is an arithmetic number, because the mean of its divisors is an integer number (24379729920).

Almost surely, 2^{11168421286176} is an apocalyptic number.

11168421286176 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 11168421286176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21064086650880).

11168421286176 is an abundant number, since it is smaller than the sum of its proper divisors (30959752015584).

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

11168421286176 is a wasteful number, since it uses less digits than its factorization.

11168421286176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 11168421286176 in words is "eleven trillion, one hundred sixty-eight billion, four hundred twenty-one million, two hundred eighty-six thousand, one hundred seventy-six".