14018735328 has 96 divisors (see below), whose sum is σ = 39896388000. Its totient is φ = 4284450816.

The previous prime is 14018735323. The next prime is 14018735333. The reversal of 14018735328 is 82353781041.

It is an interprime number because it is at equal distance from previous prime (14018735323) and next prime (14018735333).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×14018735328⁴ (a number of 42 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14018735328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14018735323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148258 + ... + 223646.

It is an arithmetic number, because the mean of its divisors is an integer number (415587375).

Almost surely, 2^14018735328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14018735328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948194000).

14018735328 is an abundant number, since it is smaller than the sum of its proper divisors (25877652672).

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

14018735328 is a wasteful number, since it uses less digits than its factorization.

14018735328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75564 (or 75556 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 14018735328 in words is "fourteen billion, eighteen million, seven hundred thirty-five thousand, three hundred twenty-eight".