14324340201012 has 288 divisors, whose sum is σ = 39335181984000. Its totient is φ = 4507017292800.

The previous prime is 14324340200987. The next prime is 14324340201013. The reversal of 14324340201012 is 21010204342341.

14324340201012 is a `hidden beast` number, since 1 + 4 + 3 + 243 + 402 + 0 + 1 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14324340201013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2893219137 + ... + 2893224087.

It is an arithmetic number, because the mean of its divisors is an integer number (136580493000).

Almost surely, 2^{14324340201012} is an apocalyptic number.

14324340201012 is a gapful number since it is divisible by the number (12) 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 14324340201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667590992000).

14324340201012 is an abundant number, since it is smaller than the sum of its proper divisors (25010841782988).

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

14324340201012 is a wasteful number, since it uses less digits than its factorization.

14324340201012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14324340201012 its reverse (21010204342341), we get a palindrome (35334544543353).

The spelling of 14324340201012 in words is "fourteen trillion, three hundred twenty-four billion, three hundred forty million, two hundred one thousand, twelve".