14007034338 has 64 divisors (see below), whose sum is σ = 31208827392. Its totient is φ = 4155338880.

The previous prime is 14007034277. The next prime is 14007034357. The reversal of 14007034338 is 83343070041.

14007034338 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14007034338² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 14007034299 and 14007034308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711070 + ... + 730502.

It is an arithmetic number, because the mean of its divisors is an integer number (487637928).

Almost surely, 2^14007034338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14007034338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15604413696).

14007034338 is an abundant number, since it is smaller than the sum of its proper divisors (17201793054).

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

14007034338 is a wasteful number, since it uses less digits than its factorization.

14007034338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19679.

The product of its (nonzero) digits is 24192, while the sum is 33.

It can be divided in two parts, 1400703 and 4338, that added together give a palindrome (1405041).

The spelling of 14007034338 in words is "fourteen billion, seven million, thirty-four thousand, three hundred thirty-eight".