14241388896 has 480 divisors, whose sum is σ = 50982624000. Its totient is φ = 3809369088.

The previous prime is 14241388873. The next prime is 14241388897. The reversal of 14241388896 is 69888314241.

It is a happy number.

14241388896 is a `hidden beast` number, since 1 + 424 + 138 + 8 + 89 + 6 = 666.

It is a super-2 number, since 2×14241388896² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (14241388897) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37576035 + ... + 37576413.

It is an arithmetic number, because the mean of its divisors is an integer number (106213800).

Almost surely, 2^14241388896 is an apocalyptic number.

14241388896 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 14241388896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491312000).

14241388896 is an abundant number, since it is smaller than the sum of its proper divisors (36741235104).

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

14241388896 is a wasteful number, since it uses less digits than its factorization.

14241388896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 519 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 14241388896 in words is "fourteen billion, two hundred forty-one million, three hundred eighty-eight thousand, eight hundred ninety-six".