14917014000 has 1280 divisors, whose sum is σ = 67348070400. Its totient is φ = 3079296000.

The previous prime is 14917013957. The next prime is 14917014041. The reversal of 14917014000 is 41071941.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 222641967 + ... + 222642033.

It is an arithmetic number, because the mean of its divisors is an integer number (52615680).

Almost surely, 2^14917014000 is an apocalyptic number.

14917014000 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 14917014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33674035200).

14917014000 is an abundant number, since it is smaller than the sum of its proper divisors (52431056400).

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

14917014000 is a wasteful number, since it uses less digits than its factorization.

14917014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 14917014000 its reverse (41071941), we get a palindrome (14958085941).

The spelling of 14917014000 in words is "fourteen billion, nine hundred seventeen million, fourteen thousand".