14284939872 has 384 divisors, whose sum is σ = 46597275648. Its totient is φ = 3744921600.

The previous prime is 14284939871. The next prime is 14284939883. The reversal of 14284939872 is 27893948241.

It is a super-3 number, since 3×14284939872³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14284939871) 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, 33143497 + ... + 33143927.

It is an arithmetic number, because the mean of its divisors is an integer number (121347072).

Almost surely, 2^14284939872 is an apocalyptic number.

14284939872 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 14284939872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298637824).

14284939872 is an abundant number, since it is smaller than the sum of its proper divisors (32312335776).

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

14284939872 is a wasteful number, since it uses less digits than its factorization.

14284939872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The spelling of 14284939872 in words is "fourteen billion, two hundred eighty-four million, nine hundred thirty-nine thousand, eight hundred seventy-two".