11366014473216 has 616 divisors, whose sum is σ = 38617739418720. Its totient is φ = 3313116463104.

The previous prime is 11366014473161. The next prime is 11366014473217. The reversal of 11366014473216 is 61237441066311.

11366014473216 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 601 + 4 + 4 + 7 + 32 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11366014473217) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 184353691 + ... + 184415333.

It is an arithmetic number, because the mean of its divisors is an integer number (62691135420).

Almost surely, 2^{11366014473216} is an apocalyptic number.

11366014473216 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 11366014473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19308869709360).

11366014473216 is an abundant number, since it is smaller than the sum of its proper divisors (27251724945504).

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

11366014473216 is an equidigital number, since it uses as much as digits as its factorization.

11366014473216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61713 (or 61680 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 11366014473216 in words is "eleven trillion, three hundred sixty-six billion, fourteen million, four hundred seventy-three thousand, two hundred sixteen".