144312233320000 has 140 divisors (see below), whose sum is σ = 357886059286140. Its totient is φ = 57718663168000.

The previous prime is 144312233319979. The next prime is 144312233320037. The reversal of 144312233320000 is 23332213441.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 133276496167936 + 11035737152064 = 11544544^2 + 3322008^2 .

It is a super-2 number, since 2×144312233320000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 379690056 + ... + 380069944.

It is an arithmetic number, because the mean of its divisors is an integer number (2556328994901).

Almost surely, 2^{144312233320000} is an apocalyptic number.

144312233320000 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 144312233320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178943029643070).

144312233320000 is an abundant number, since it is smaller than the sum of its proper divisors (213573825966140).

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

144312233320000 is an frugal number, since it uses more digits than its factorization.

144312233320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389418 (or 389393 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 144312233320000 its reverse (23332213441), we get a palindrome (144335565533441).

The spelling of 144312233320000 in words is "one hundred forty-four trillion, three hundred twelve billion, two hundred thirty-three million, three hundred twenty thousand".