11344345743360 has 480 divisors, whose sum is σ = 41564619694080. Its totient is φ = 2588119400448.

The previous prime is 11344345743319. The next prime is 11344345743383. The reversal of 11344345743360 is 6334754344311.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 958212321 + ... + 958224159.

It is an arithmetic number, because the mean of its divisors is an integer number (86592957696).

Almost surely, 2^{11344345743360} is an apocalyptic number.

11344345743360 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 11344345743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20782309847040).

11344345743360 is an abundant number, since it is smaller than the sum of its proper divisors (30220273950720).

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

11344345743360 is an equidigital number, since it uses as much as digits as its factorization.

11344345743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12439 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 11344345743360 in words is "eleven trillion, three hundred forty-four billion, three hundred forty-five million, seven hundred forty-three thousand, three hundred sixty".