13214345144000 has 1344 divisors, whose sum is σ = 44952610160640. Its totient is φ = 3743511552000.

The previous prime is 13214345143949. The next prime is 13214345144027. The reversal of 13214345144000 is 44154341231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5901894881 + ... + 5901897119.

It is an arithmetic number, because the mean of its divisors is an integer number (33446882560).

Almost surely, 2^{13214345144000} is an apocalyptic number.

13214345144000 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 13214345144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22476305080320).

13214345144000 is an abundant number, since it is smaller than the sum of its proper divisors (31738265016640).

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

13214345144000 is a wasteful number, since it uses less digits than its factorization.

13214345144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2344 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 13214345144000 its reverse (44154341231), we get a palindrome (13258499485231).

The spelling of 13214345144000 in words is "thirteen trillion, two hundred fourteen billion, three hundred forty-five million, one hundred forty-four thousand".