14281214976 has 352 divisors, whose sum is σ = 48986511360. Its totient is φ = 4075868160.

The previous prime is 14281214963. The next prime is 14281214977. The reversal of 14281214976 is 67941218241.

14281214976 is a `hidden beast` number, since 1 + 428 + 1 + 214 + 9 + 7 + 6 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (14281214977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15675961 + ... + 15676871.

Almost surely, 2^14281214976 is an apocalyptic number.

14281214976 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 14281214976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24493255680).

14281214976 is an abundant number, since it is smaller than the sum of its proper divisors (34705296384).

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

14281214976 is an frugal number, since it uses more digits than its factorization.

14281214976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959 (or 923 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 14281214976 in words is "fourteen billion, two hundred eighty-one million, two hundred fourteen thousand, nine hundred seventy-six".