14564340000 has 480 divisors, whose sum is σ = 60681075840. Its totient is φ = 3328128000.

The previous prime is 14564339981. The next prime is 14564340013. The reversal of 14564340000 is 4346541.

14564340000 is a `hidden beast` number, since 14 + 5 + 643 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3778074 + ... + 3781926.

It is an arithmetic number, because the mean of its divisors is an integer number (126418908).

Almost surely, 2^14564340000 is an apocalyptic number.

14564340000 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 14564340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30340537920).

14564340000 is an abundant number, since it is smaller than the sum of its proper divisors (46116735840).

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

14564340000 is an equidigital number, since it uses as much as digits as its factorization.

14564340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3870 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14564340000 its reverse (4346541), we get a palindrome (14568686541).

The spelling of 14564340000 in words is "fourteen billion, five hundred sixty-four million, three hundred forty thousand".