11132186914368 has 336 divisors, whose sum is σ = 35221151661696. Its totient is φ = 3340005580800.

The previous prime is 11132186914351. The next prime is 11132186914391. The reversal of 11132186914368 is 86341968123111.

11132186914368 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 218 + 69 + 1 + 4 + 368 = 666.

11132186914368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11132186914368² (a number of 27 digits) contains 22 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 47 ways as a sum of consecutive naturals, for example, 193483621 + ... + 193541147.

It is an arithmetic number, because the mean of its divisors is an integer number (104824856136).

Almost surely, 2^{11132186914368} is an apocalyptic number.

11132186914368 is a gapful number since it is divisible by the number (18) 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 11132186914368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610575830848).

11132186914368 is an abundant number, since it is smaller than the sum of its proper divisors (24088964747328).

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

11132186914368 is a wasteful number, since it uses less digits than its factorization.

11132186914368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58202 (or 58189 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 11132186914368 in words is "eleven trillion, one hundred thirty-two billion, one hundred eighty-six million, nine hundred fourteen thousand, three hundred sixty-eight".