14113294191360 has 3456 divisors, whose sum is σ = 67321095045120. Its totient is φ = 2723217408000.

The previous prime is 14113294191323. The next prime is 14113294191377. The reversal of 14113294191360 is 6319149231141.

14113294191360 is a `hidden beast` number, since 1 + 4 + 1 + 13 + 2 + 94 + 191 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35195247160 + ... + 35195247560.

It is an arithmetic number, because the mean of its divisors is an integer number (19479483520).

Almost surely, 2^{14113294191360} is an apocalyptic number.

14113294191360 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 14113294191360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33660547522560).

14113294191360 is an abundant number, since it is smaller than the sum of its proper divisors (53207800853760).

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

14113294191360 is a wasteful number, since it uses less digits than its factorization.

14113294191360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

It can be divided in two parts, 1411329 and 4191360, that added together give a square (5602689 = 2367²).

The spelling of 14113294191360 in words is "fourteen trillion, one hundred thirteen billion, two hundred ninety-four million, one hundred ninety-one thousand, three hundred sixty".