11084940066816 has 1680 divisors, whose sum is σ = 43939886417280. Its totient is φ = 2706018140160.

The previous prime is 11084940066791. The next prime is 11084940066841. The reversal of 11084940066816 is 61866004948011.

11084940066816 is a `hidden beast` number, since 1 + 10 + 8 + 494 + 0 + 0 + 66 + 81 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11084940066791) and next prime (11084940066841).

It is a super-3 number, since 3×11084940066816³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15634611870 + ... + 15634612578.

It is an arithmetic number, because the mean of its divisors is an integer number (26154694296).

Almost surely, 2^{11084940066816} is an apocalyptic number.

11084940066816 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 11084940066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21969943208640).

11084940066816 is an abundant number, since it is smaller than the sum of its proper divisors (32854946350464).

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

11084940066816 is an frugal number, since it uses more digits than its factorization.

11084940066816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11084940066816 in words is "eleven trillion, eighty-four billion, nine hundred forty million, sixty-six thousand, eight hundred sixteen".