14062938819072 has 1280 divisors, whose sum is σ = 48530653839360. Its totient is φ = 3553320960000.

The previous prime is 14062938819047. The next prime is 14062938819077. The reversal of 14062938819072 is 27091883926041.

It is a junction number, because it is equal to n+sod(n) for n = 14062938818997 and 14062938819015.

It is not an unprimeable number, because it can be changed into a prime (14062938819077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9185458947 + ... + 9185460477.

It is an arithmetic number, because the mean of its divisors is an integer number (37914573312).

Almost surely, 2^{14062938819072} is an apocalyptic number.

14062938819072 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 14062938819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24265326919680).

14062938819072 is an abundant number, since it is smaller than the sum of its proper divisors (34467715020288).

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

14062938819072 is a wasteful number, since it uses less digits than its factorization.

14062938819072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 14062938819072 in words is "fourteen trillion, sixty-two billion, nine hundred thirty-eight million, eight hundred nineteen thousand, seventy-two".