11122384306176 has 1596 divisors, whose sum is σ = 40546420912396. Its totient is φ = 3027071139840.

The previous prime is 11122384306157. The next prime is 11122384306199. The reversal of 11122384306176 is 67160348322111.

11122384306176 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 23 + 8 + 4 + 3 + 0 + 617 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5919605784576 + 5202778521600 = 2433024^2 + 2280960^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 300604981230 + ... + 300604981266.

Almost surely, 2^{11122384306176} is an apocalyptic number.

11122384306176 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 11122384306176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273210456198).

11122384306176 is an abundant number, since it is smaller than the sum of its proper divisors (29424036606220).

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

11122384306176 is an frugal number, since it uses more digits than its factorization.

11122384306176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11122384306176 in words is "eleven trillion, one hundred twenty-two billion, three hundred eighty-four million, three hundred six thousand, one hundred seventy-six".