14138014912 has 224 divisors, whose sum is σ = 36622817280. Its totient is φ = 5268602880.

The previous prime is 14138014909. The next prime is 14138014927. The reversal of 14138014912 is 21941083141.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 5931673 + ... + 5934055.

It is an arithmetic number, because the mean of its divisors is an integer number (163494720).

Almost surely, 2^14138014912 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 14138014912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311408640).

14138014912 is an abundant number, since it is smaller than the sum of its proper divisors (22484802368).

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

14138014912 is a wasteful number, since it uses less digits than its factorization.

14138014912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 14138014912 in words is "fourteen billion, one hundred thirty-eight million, fourteen thousand, nine hundred twelve".