144223314402000 has 640 divisors, whose sum is σ = 512427202560000. Its totient is φ = 34755062630400.

The previous prime is 144223314401993. The next prime is 144223314402007. The reversal of 144223314402000 is 204413322441.

It is an interprime number because it is at equal distance from previous prime (144223314401993) and next prime (144223314402007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144223314402007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 274135201 + ... + 274660799.

It is an arithmetic number, because the mean of its divisors is an integer number (800667504000).

Almost surely, 2^{144223314402000} is an apocalyptic number.

144223314402000 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 144223314402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256213601280000).

144223314402000 is an abundant number, since it is smaller than the sum of its proper divisors (368203888158000).

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

144223314402000 is a wasteful number, since it uses less digits than its factorization.

144223314402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525756 (or 525740 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 144223314402000 its reverse (204413322441), we get a palindrome (144427727724441).

The spelling of 144223314402000 in words is "one hundred forty-four trillion, two hundred twenty-three billion, three hundred fourteen million, four hundred two thousand".