14137385328 has 320 divisors, whose sum is σ = 48111206400. Its totient is φ = 3926880000.

The previous prime is 14137385323. The next prime is 14137385333. The reversal of 14137385328 is 82358373141.

14137385328 is a `hidden beast` number, since 1 + 41 + 3 + 73 + 8 + 532 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (14137385323) and next prime (14137385333).

It is a super-4 number, since 4×14137385328⁴ (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14137385323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2796403 + ... + 2801453.

It is an arithmetic number, because the mean of its divisors is an integer number (150347520).

Almost surely, 2^14137385328 is an apocalyptic number.

14137385328 is a gapful number since it is divisible by the number (18) 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 14137385328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24055603200).

14137385328 is an abundant number, since it is smaller than the sum of its proper divisors (33973821072).

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

14137385328 is a wasteful number, since it uses less digits than its factorization.

14137385328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5129 (or 5117 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 14137385328 in words is "fourteen billion, one hundred thirty-seven million, three hundred eighty-five thousand, three hundred twenty-eight".