11446143416560 has 160 divisors (see below), whose sum is σ = 26975532026880. Its totient is φ = 4516500059136.

The previous prime is 11446143416527. The next prime is 11446143416569. The reversal of 11446143416560 is 6561434164411.

11446143416560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11446143416560² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11446143416560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11446143416569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1046355571 + ... + 1046366509.

It is an arithmetic number, because the mean of its divisors is an integer number (168597075168).

Almost surely, 2^{11446143416560} is an apocalyptic number.

11446143416560 is a gapful number since it is divisible by the number (10) 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 11446143416560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13487766013440).

11446143416560 is an abundant number, since it is smaller than the sum of its proper divisors (15529388610320).

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

11446143416560 is a wasteful number, since it uses less digits than its factorization.

11446143416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703 (or 11697 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 11446143416560 in words is "eleven trillion, four hundred forty-six billion, one hundred forty-three million, four hundred sixteen thousand, five hundred sixty".