14114517800 has 96 divisors (see below), whose sum is σ = 33668157600. Its totient is φ = 5499943680.

The previous prime is 14114517797. The next prime is 14114517803. The reversal of 14114517800 is 871541141.

It is an interprime number because it is at equal distance from previous prime (14114517797) and next prime (14114517803).

It is a super-2 number, since 2×14114517800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14114517803) 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, 3601442 + ... + 3605358.

It is an arithmetic number, because the mean of its divisors is an integer number (350709975).

Almost surely, 2^14114517800 is an apocalyptic number.

14114517800 is a gapful number since it is divisible by the number (10) 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 14114517800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16834078800).

14114517800 is an abundant number, since it is smaller than the sum of its proper divisors (19553639800).

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

14114517800 is a wasteful number, since it uses less digits than its factorization.

14114517800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4395 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The spelling of 14114517800 in words is "fourteen billion, one hundred fourteen million, five hundred seventeen thousand, eight hundred".