14373830016 has 384 divisors, whose sum is σ = 52561367040. Its totient is φ = 3667783680.

The previous prime is 14373829997. The next prime is 14373830017. The reversal of 14373830016 is 61003837341.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14373830017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3247581 + ... + 3252003.

It is an arithmetic number, because the mean of its divisors is an integer number (136878560).

Almost surely, 2^14373830016 is an apocalyptic number.

14373830016 is a gapful number since it is divisible by the number (16) 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 14373830016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26280683520).

14373830016 is an abundant number, since it is smaller than the sum of its proper divisors (38187537024).

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

14373830016 is a wasteful number, since it uses less digits than its factorization.

14373830016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 14373830016 in words is "fourteen billion, three hundred seventy-three million, eight hundred thirty thousand, sixteen".