14122408881168 has 560 divisors, whose sum is σ = 48542488081920. Its totient is φ = 3892574278656.

The previous prime is 14122408881167. The next prime is 14122408881193. The reversal of 14122408881168 is 86118880422141.

14122408881168 is a `hidden beast` number, since 1 + 41 + 2 + 2 + 408 + 88 + 116 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14122408881167) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4671652105 + ... + 4671655127.

It is an arithmetic number, because the mean of its divisors is an integer number (86683014432).

Almost surely, 2^{14122408881168} is an apocalyptic number.

14122408881168 is a gapful number since it is divisible by the number (18) 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 14122408881168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24271244040960).

14122408881168 is an abundant number, since it is smaller than the sum of its proper divisors (34420079200752).

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

14122408881168 is a wasteful number, since it uses less digits than its factorization.

14122408881168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 54.

The spelling of 14122408881168 in words is "fourteen trillion, one hundred twenty-two billion, four hundred eight million, eight hundred eighty-one thousand, one hundred sixty-eight".