14286438432 has 288 divisors, whose sum is σ = 49022064000. Its totient is φ = 3940296192.

The previous prime is 14286438401. The next prime is 14286438451. The reversal of 14286438432 is 23483468241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×14286438432⁴ (a number of 42 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2862243 + ... + 2867229.

It is an arithmetic number, because the mean of its divisors is an integer number (170215500).

Almost surely, 2^14286438432 is an apocalyptic number.

14286438432 is a gapful number since it is divisible by the number (12) 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 14286438432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24511032000).

14286438432 is an abundant number, since it is smaller than the sum of its proper divisors (34735625568).

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

14286438432 is a wasteful number, since it uses less digits than its factorization.

14286438432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5028 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 14286438432 in words is "fourteen billion, two hundred eighty-six million, four hundred thirty-eight thousand, four hundred thirty-two".