144311214201000 has 1024 divisors, whose sum is σ = 594587647180800. Its totient is φ = 28212609024000.

The previous prime is 144311214200977. The next prime is 144311214201001. The reversal of 144311214201000 is 102412113441.

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 (144311214201001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15389908312 + ... + 15389917688.

It is an arithmetic number, because the mean of its divisors is an integer number (580651999200).

Almost surely, 2^{144311214201000} is an apocalyptic number.

144311214201000 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 144311214201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297293823590400).

144311214201000 is an abundant number, since it is smaller than the sum of its proper divisors (450276432979800).

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

144311214201000 is a wasteful number, since it uses less digits than its factorization.

144311214201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13355 (or 13341 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 144311214201000 its reverse (102412113441), we get a palindrome (144413626314441).

The spelling of 144311214201000 in words is "one hundred forty-four trillion, three hundred eleven billion, two hundred fourteen million, two hundred one thousand".