144004244112300 has 288 divisors, whose sum is σ = 489583276164864. Its totient is φ = 32218821504000.

The previous prime is 144004244112259. The next prime is 144004244112353. The reversal of 144004244112300 is 3211442400441.

It is a happy number.

It is a super-2 number, since 2×144004244112300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 235945530 + ... + 236555070.

It is an arithmetic number, because the mean of its divisors is an integer number (1699941931128).

Almost surely, 2^{144004244112300} is an apocalyptic number.

144004244112300 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 144004244112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244791638082432).

144004244112300 is an abundant number, since it is smaller than the sum of its proper divisors (345579032052564).

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

144004244112300 is a wasteful number, since it uses less digits than its factorization.

144004244112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615089 (or 615082 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144004244112300 its reverse (3211442400441), we get a palindrome (147215686512741).

The spelling of 144004244112300 in words is "one hundred forty-four trillion, four billion, two hundred forty-four million, one hundred twelve thousand, three hundred".