144311304112300 has 144 divisors (see below), whose sum is σ = 357138493860960. Its totient is φ = 50141921955840.

The previous prime is 144311304112207. The next prime is 144311304112309. The reversal of 144311304112300 is 3211403113441.

It is a super-2 number, since 2×144311304112300² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144311304112309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140863311 + ... + 141884089.

It is an arithmetic number, because the mean of its divisors is an integer number (2480128429590).

Almost surely, 2^{144311304112300} is an apocalyptic number.

144311304112300 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 144311304112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178569246930480).

144311304112300 is an abundant number, since it is smaller than the sum of its proper divisors (212827189748660).

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

144311304112300 is a wasteful number, since it uses less digits than its factorization.

144311304112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027220 (or 1027213 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 144311304112300 its reverse (3211403113441), we get a palindrome (147522707225741).

The spelling of 144311304112300 in words is "one hundred forty-four trillion, three hundred eleven billion, three hundred four million, one hundred twelve thousand, three hundred".