11344214568960 has 1872 divisors, whose sum is σ = 50217260131584. Its totient is φ = 2347055972352.

The previous prime is 11344214568949. The next prime is 11344214568971. The reversal of 11344214568960 is 6986541244311.

11344214568960 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 4 + 2 + 14 + 568 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11344214568949) and next prime (11344214568971).

It is a tau number, because it is divible by the number of its divisors (1872).

It is a junction number, because it is equal to n+sod(n) for n = 11344214568897 and 11344214568906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6222826609 + ... + 6222828431.

It is an arithmetic number, because the mean of its divisors is an integer number (26825459472).

Almost surely, 2^{11344214568960} is an apocalyptic number.

11344214568960 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 11344214568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25108630065792).

11344214568960 is an abundant number, since it is smaller than the sum of its proper divisors (38873045562624).

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

11344214568960 is a wasteful number, since it uses less digits than its factorization.

11344214568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 11344214568960 in words is "eleven trillion, three hundred forty-four billion, two hundred fourteen million, five hundred sixty-eight thousand, nine hundred sixty".