14117224968 has 432 divisors, whose sum is σ = 50484330000. Its totient is φ = 3659463360.

The previous prime is 14117224967. The next prime is 14117224973. The reversal of 14117224968 is 86942271141.

14117224968 is a `hidden beast` number, since 1 + 411 + 7 + 224 + 9 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14117224967) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28290783 + ... + 28291281.

It is an arithmetic number, because the mean of its divisors is an integer number (116861875).

Almost surely, 2^14117224968 is an apocalyptic number.

14117224968 is a gapful number since it is divisible by the number (18) 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 14117224968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242165000).

14117224968 is an abundant number, since it is smaller than the sum of its proper divisors (36367105032).

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

14117224968 is an equidigital number, since it uses as much as digits as its factorization.

14117224968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 522 counting only the distinct ones).

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

The spelling of 14117224968 in words is "fourteen billion, one hundred seventeen million, two hundred twenty-four thousand, nine hundred sixty-eight".