14104311312 has 480 divisors, whose sum is σ = 47449463040. Its totient is φ = 3576545280.

The previous prime is 14104311301. The next prime is 14104311317. The reversal of 14104311312 is 21311340141.

It is a super-2 number, since 2×14104311312² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (14104311317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 158475364 + ... + 158475452.

It is an arithmetic number, because the mean of its divisors is an integer number (98853048).

Almost surely, 2^14104311312 is an apocalyptic number.

14104311312 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 14104311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23724731520).

14104311312 is an abundant number, since it is smaller than the sum of its proper divisors (33345151728).

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

14104311312 is a wasteful number, since it uses less digits than its factorization.

14104311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 14104311312 its reverse (21311340141), we get a palindrome (35415651453).

The spelling of 14104311312 in words is "fourteen billion, one hundred four million, three hundred eleven thousand, three hundred twelve".