14114515968 has 264 divisors, whose sum is σ = 46946913312. Its totient is φ = 4000776192.

The previous prime is 14114515949. The next prime is 14114515969. The reversal of 14114515968 is 86951541141.

14114515968 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 4 + 51 + 596 + 8 = 666.

It is a super-2 number, since 2×14114515968² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (14114515969) 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, 8837346 + ... + 8838942.

Almost surely, 2^14114515968 is an apocalyptic number.

14114515968 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 14114515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23473456656).

14114515968 is an abundant number, since it is smaller than the sum of its proper divisors (32832397344).

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

14114515968 is a wasteful number, since it uses less digits than its factorization.

14114515968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1746 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 14114515968 in words is "fourteen billion, one hundred fourteen million, five hundred fifteen thousand, nine hundred sixty-eight".