14022134313000 has 256 divisors, whose sum is σ = 48198794791680. Its totient is φ = 3365648000000.

The previous prime is 14022134312983. The next prime is 14022134313001. The reversal of 14022134313000 is 31343122041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (14022134313001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229470 + ... + 5436530.

It is an arithmetic number, because the mean of its divisors is an integer number (188276542155).

Almost surely, 2^{14022134313000} is an apocalyptic number.

14022134313000 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 14022134313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24099397395840).

14022134313000 is an abundant number, since it is smaller than the sum of its proper divisors (34176660478680).

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

14022134313000 is a wasteful number, since it uses less digits than its factorization.

14022134313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207197 (or 4207183 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14022134313000 its reverse (31343122041), we get a palindrome (14053477435041).

The spelling of 14022134313000 in words is "fourteen trillion, twenty-two billion, one hundred thirty-four million, three hundred thirteen thousand".