14314189824 has 132 divisors (see below), whose sum is σ = 45089678400. Its totient is φ = 4337602560.

The previous prime is 14314189823. The next prime is 14314189831. The reversal of 14314189824 is 42898141341.

14314189824 is a `hidden beast` number, since 143 + 1 + 418 + 98 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14314189824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14314189823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30777 + ... + 171975.

Almost surely, 2^14314189824 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 14314189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22544839200).

14314189824 is an abundant number, since it is smaller than the sum of its proper divisors (30775488576).

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

14314189824 is a wasteful number, since it uses less digits than its factorization.

14314189824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141236 (or 141215 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 14314189824 in words is "fourteen billion, three hundred fourteen million, one hundred eighty-nine thousand, eight hundred twenty-four".