11141401563684 has 216 divisors, whose sum is σ = 32961680551800. Its totient is φ = 3163773570048.

The previous prime is 11141401563661. The next prime is 11141401563749. The reversal of 11141401563684 is 48636510414111.

11141401563684 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 4 + 0 + 1 + 5 + 636 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3880112040000 + 7261289523684 = 1969800^2 + 2694678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1418740702 + ... + 1418748554.

It is an arithmetic number, because the mean of its divisors is an integer number (152600372925).

Almost surely, 2^{11141401563684} is an apocalyptic number.

11141401563684 is a gapful number since it is divisible by the number (14) 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 11141401563684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480840275900).

11141401563684 is an abundant number, since it is smaller than the sum of its proper divisors (21820278988116).

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

11141401563684 is a wasteful number, since it uses less digits than its factorization.

11141401563684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12699 (or 12687 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 11141401563684 its reverse (48636510414111), we get a palindrome (59777911977795).

The spelling of 11141401563684 in words is "eleven trillion, one hundred forty-one billion, four hundred one million, five hundred sixty-three thousand, six hundred eighty-four".