11378611214208 has 2304 divisors, whose sum is σ = 43974937843200. Its totient is φ = 2797174259712.

The previous prime is 11378611214203. The next prime is 11378611214297. The reversal of 11378611214208 is 80241211687311.

11378611214208 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 8 + 611 + 2 + 1 + 4 + 20 + 8 = 666.

It is a super-2 number, since 2×11378611214208² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11378611214203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 110471953485 + ... + 110471953587.

It is an arithmetic number, because the mean of its divisors is an integer number (19086344550).

Almost surely, 2^{11378611214208} is an apocalyptic number.

11378611214208 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 11378611214208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987468921600).

11378611214208 is an abundant number, since it is smaller than the sum of its proper divisors (32596326628992).

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

11378611214208 is a wasteful number, since it uses less digits than its factorization.

11378611214208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11378611214208 in words is "eleven trillion, three hundred seventy-eight billion, six hundred eleven million, two hundred fourteen thousand, two hundred eight".