11128183416000 has 1008 divisors, whose sum is σ = 48744008033760. Its totient is φ = 2409697382400.

The previous prime is 11128183415957. The next prime is 11128183416001. The reversal of 11128183416000 is 61438182111.

11128183416000 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 8 + 1 + 8 + 3 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×11128183416000² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11128183416001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66948994 + ... + 67115006.

Almost surely, 2^{11128183416000} is an apocalyptic number.

11128183416000 is a gapful number since it is divisible by the number (10) 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 11128183416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24372004016880).

11128183416000 is an abundant number, since it is smaller than the sum of its proper divisors (37615824617760).

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

11128183416000 is a wasteful number, since it uses less digits than its factorization.

11128183416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166079 (or 166049 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 11128183416000 in words is "eleven trillion, one hundred twenty-eight billion, one hundred eighty-three million, four hundred sixteen thousand".