14411168358912 has 1120 divisors, whose sum is σ = 48915450460800. Its totient is φ = 4206367604736.

The previous prime is 14411168358893. The next prime is 14411168358941. The reversal of 14411168358912 is 21985386111441.

It is a happy number.

14411168358912 is a `hidden beast` number, since 1 + 4 + 41 + 1 + 1 + 6 + 8 + 3 + 589 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15512559664 + ... + 15512560592.

It is an arithmetic number, because the mean of its divisors is an integer number (43674509340).

Almost surely, 2^{14411168358912} is an apocalyptic number.

14411168358912 is a gapful number since it is divisible by the number (12) 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 14411168358912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24457725230400).

14411168358912 is an abundant number, since it is smaller than the sum of its proper divisors (34504282101888).

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

14411168358912 is an equidigital number, since it uses as much as digits as its factorization.

14411168358912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1109 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The spelling of 14411168358912 in words is "fourteen trillion, four hundred eleven billion, one hundred sixty-eight million, three hundred fifty-eight thousand, nine hundred twelve".