11305289866416 has 320 divisors, whose sum is σ = 37467539923968. Its totient is φ = 2857729019904.

The previous prime is 11305289866331. The next prime is 11305289866447. The reversal of 11305289866416 is 61466898250311.

It is a self number, because there is not a number n which added to its sum of digits gives 11305289866416.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10306246 + ... + 11350298.

Almost surely, 2^{11305289866416} is an apocalyptic number.

11305289866416 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 11305289866416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733769961984).

11305289866416 is an abundant number, since it is smaller than the sum of its proper divisors (26162250057552).

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

11305289866416 is a wasteful number, since it uses less digits than its factorization.

11305289866416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044188 (or 1044182 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 11305289866416 in words is "eleven trillion, three hundred five billion, two hundred eighty-nine million, eight hundred sixty-six thousand, four hundred sixteen".