14146384896 has 264 divisors, whose sum is σ = 49432593600. Its totient is φ = 3803774976.

The previous prime is 14146384871. The next prime is 14146384897. The reversal of 14146384896 is 69848364141.

14146384896 is a `hidden beast` number, since 1 + 414 + 63 + 84 + 8 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14146384897) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1090255 + ... + 1103153.

Almost surely, 2^14146384896 is an apocalyptic number.

14146384896 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 14146384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24716296800).

14146384896 is an abundant number, since it is smaller than the sum of its proper divisors (35286208704).

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

14146384896 is a wasteful number, since it uses less digits than its factorization.

14146384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12949 (or 12928 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 14146384896 in words is "fourteen billion, one hundred forty-six million, three hundred eighty-four thousand, eight hundred ninety-six".