14219681112 has 256 divisors, whose sum is σ = 49075891200. Its totient is φ = 3714647040.

The previous prime is 14219681107. The next prime is 14219681117. The reversal of 14219681112 is 21118691241.

It is an interprime number because it is at equal distance from previous prime (14219681107) and next prime (14219681117).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14219681117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2099812 + ... + 2106572.

It is an arithmetic number, because the mean of its divisors is an integer number (191702700).

Almost surely, 2^14219681112 is an apocalyptic number.

14219681112 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 14219681112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24537945600).

14219681112 is an abundant number, since it is smaller than the sum of its proper divisors (34856210088).

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

14219681112 is a wasteful number, since it uses less digits than its factorization.

14219681112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6893 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The spelling of 14219681112 in words is "fourteen billion, two hundred nineteen million, six hundred eighty-one thousand, one hundred twelve".