144300214100000 has 288 divisors, whose sum is σ = 406006115945472. Its totient is φ = 49451472000000.

The previous prime is 144300214099957. The next prime is 144300214100017. The reversal of 144300214100000 is 1412003441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1549053425 + ... + 1549146575.

It is an arithmetic number, because the mean of its divisors is an integer number (1409743458144).

Almost surely, 2^{144300214100000} is an apocalyptic number.

144300214100000 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 144300214100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203003057972736).

144300214100000 is an abundant number, since it is smaller than the sum of its proper divisors (261705901845472).

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

144300214100000 is an frugal number, since it uses more digits than its factorization.

144300214100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95406 (or 95378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144300214100000 its reverse (1412003441), we get a palindrome (144301626103441).

The spelling of 144300214100000 in words is "one hundred forty-four trillion, three hundred billion, two hundred fourteen million, one hundred thousand".