14534100000 has 576 divisors, whose sum is σ = 60633619200. Its totient is φ = 3317760000.

The previous prime is 14534099999. The next prime is 14534100107. The reversal of 14534100000 is 143541.

It is a happy number.

It is a super-2 number, since 2×14534100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18899616 + ... + 18900384.

It is an arithmetic number, because the mean of its divisors is an integer number (105266700).

Almost surely, 2^14534100000 is an apocalyptic number.

14534100000 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 14534100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30316809600).

14534100000 is an abundant number, since it is smaller than the sum of its proper divisors (46099519200).

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

14534100000 is an frugal number, since it uses more digits than its factorization.

14534100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 14534100000 its reverse (143541), we get a palindrome (14534243541).

The spelling of 14534100000 in words is "fourteen billion, five hundred thirty-four million, one hundred thousand".